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Linear Algebra 20j: The Dot Product, Matrix Multiplication, and the Magic of Orthogonal Matrices
 
19:18
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 5667 MathTheBeautiful
❤² Matrix Multiplication.. How? (mathbff)
 
05:46
Follow @mathbff on Instagram, Facebook and Twitter!
Views: 93166 mathbff
Vector dot product and vector length | Vectors and spaces | Linear Algebra | Khan Academy
 
09:10
Definitions of the vector dot product and vector length Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proving-vector-dot-product-properties?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/subspace_basis/v/linear-algebra-basis-of-a-subspace?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 654517 Khan Academy
GG413: Matrix Addition, Vector Dot Product, Matrix Multiplication
 
22:48
University of Hawaii, Dept. of Geology & Geophysics, Garrett Apuzen-Ito, GG413: Geological Data Analysis www.soest.hawaii.edu/GG/FACULTY/ITO/GG413
Views: 2310 Garrett Apuzen-Ito
Matrix vector products | Vectors and spaces | Linear Algebra | Khan Academy
 
21:10
Defining and understanding what it means to take the product of a matrix and a vector Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/introduction-to-the-null-space-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/matrices_elimination/v/matrices-reduced-row-echelon-form-3?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 242654 Khan Academy
Scalar multiplication | Matrices | Precalculus | Khan Academy
 
02:18
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/e/scalar_matrix_multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/v/matrix-addition-and-subtraction-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/v/data-in-matrices?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 391976 Khan Academy
The dot product | Magnetic forces, magnetic fields, and Faraday's law | Physics | Khan Academy
 
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Introduction to the vector dot product. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/dot-vs-cross-product?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/magnetism-11-electric-motors?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 446273 Khan Academy
Vectors - The Dot Product
 
07:27
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! For more FREE math videos, visit http://PatrickJMT.com !! Vectors - The Dot Product. I show how to compute the dot product of two vectors, along with some useful theorems and results involving dot products. 3 complete examples are shown.
Views: 877992 patrickJMT
Inner & outer products
 
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Definition of an inner and outer product of two column vectors. Take my Coursera course at https://www.coursera.org/learn/matrix-algebra-engineers Download lecture notes from http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf
Views: 2522 Jeffrey Chasnov
Matrix Multiplication - Learn How to Multiply Matrices | Skill Ark
 
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Matrix Multiplication - Learn how to multiply matrix and matrix rules of multiplication of two matrix and more matrices. Learn multiplying a matrix by anothe martix, with help of dot product or cross product of rows and columns and find product martix. Don't forget to subscribe us for more Math in Hindi videos. Go Through These Links : FACEBOOK - https://www.facebook.com/skillark/ INSTAGRAM - https://www.instagram.com/skillark/ Chapter 1 - https://www.youtube.com/playlist?list=PLoQsqSJN0gMKusVOS8mL7WQxDMpiiI2jv Chapter 2 - https://www.youtube.com/playlist?list=PLoQsqSJN0gMJ2F91TuC-Vdgglzmi_mHYY Chapter 3 - https://www.youtube.com/playlist?list=PLoQsqSJN0gMLHxk61a_6Xj-fJMF3NwEFH Chapter 4 - https://www.youtube.com/playlist?list=PLoQsqSJN0gMJrMpak_qUc67BxK4_u8a90 Chapter 5 - https://www.youtube.com/playlist?list=PLoQsqSJN0gMK1K8z73AbQPyxfDA1pS_uI Chapter 6 - https://www.youtube.com/playlist?list=PLoQsqSJN0gMIjgUHoKEdTWeN1FRsnN6b_ Chapter 7 - https://www.youtube.com/playlist?list=PLoQsqSJN0gML59bzYBybM_HhZIunx0Wlu Chapter 8 - https://www.youtube.com/playlist?list=PLoQsqSJN0gMK71rfeyubBhSFZdo2ZF84y Chapter 9 - https://www.youtube.com/playlist?list=PLoQsqSJN0gMKgHyCBk64Jr1wMpAlM8SCx Chapter 10 - https://www.youtube.com/playlist?list=PLoQsqSJN0gMJsWB3QaVKYRA0Y73cQ_Jes Chapter 12 - https://www.youtube.com/playlist?list=PLoQsqSJN0gMKDcJ2M9XR_zdklsfINdYW1 Chapter 13 - https://www.youtube.com/playlist?list=PLoQsqSJN0gMLfOeN2dlbxiQXfL7p5HBu1 Chapter 14 - https://www.youtube.com/playlist?list=PLoQsqSJN0gMLXKP4782B6Q2KIDIQG-Si1 Chapter 15 - SHORT TRICKS - https://www.youtube.com/playlist?list=PLoQsqSJN0gMLPrAgYu0t-P7Fk-vNYXjb2 Integration https://www.youtube.com/watch?v=8EheIzF4rgY&list=PLoQsqSJN0gMIymIleyIBzQ9psYDaSwCdI Differentiation https://www.youtube.com/watch?v=ezwU63tIUBA&list=PLoQsqSJN0gMK9-BCTe70taPGQy7EfPrSV Trigonometric quadrants https://www.youtube.com/watch?v=ndwaiPn4kn4&list=PLoQsqSJN0gMJGUJQTJnCR_inhx1Ckzo-n trigonometry https://www.youtube.com/watch?v=ojOD7zF27x8&list=PLoQsqSJN0gMLiwPKvAeJ_Zvms1VCAoxDF #maths #matrixmultiplication #matrices
Views: 1256 Skill Ark
Linear Algebra 11L: The Three Equivalent Perspectives on Matrix Multiplication
 
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This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be promptly addressed. Linear Algebra is one of the most important subjects in mathematics. It is a subject with boundless practical and conceptual applications. Linear Algebra is the fabric by which the worlds of geometry and algebra are united at the most profound level and through which these two mathematical worlds make each other far more powerful than they ever were individually. Virtually all subsequent subjects, including applied mathematics, physics, and all forms of engineering, are deeply rooted in Linear Algebra and cannot be understood without a thorough understanding of Linear Algebra. Linear Algebra provides the framework and the language for expressing the most fundamental relationships in virtually all subjects. This collection of videos is meant as a stand along self-contained course. There are no prerequisites. Our focus is on depth, understanding and applications. Our innovative approach emphasizes the geometric and algorithmic perspective and was designed to be fun and accessible for learners of all levels. Numerous exercises will be provided via the Lemma system (under development) We will cover the following topics: Vectors Linear combinations Decomposition Linear independence Null space Span Linear systems Gaussian elimination Matrix multiplication and matrix algebra The inverse of a matrix Elementary matrices LU decomposition LDU decomposition Linear transformations Determinants Cofactors Eigenvalues Eigenvectors Eigenvalue decomposition (also known as the spectral decomposition) Inner product (also known as the scalar product and dot product) Self-adjoint matrices Symmetric matrices Positive definite matrices Cholesky decomposition Gram-Schmidt orthogonalization QR decomposition Elements of numerical linear algebra I’m Pavel Grinfeld. I’m an applied mathematician. I study problems in differential geometry, particularly with moving surfaces.
Views: 2545 MathTheBeautiful
Matrix multiplication as composition | Essence of linear algebra, chapter 4
 
10:04
Multiplying two matrices represents applying one transformation after another. Many facts about matrix multiplication become much clearer once you digest this fact. Full series: http://3b1b.co/eola Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced. http://3b1b.co/support ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: https://goo.gl/WmnCQZ Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown
Views: 752988 3Blue1Brown
Linear Algebra: Matrix Multiplication and the Dot Product of Vectors
 
12:16
This video is about Linear Algebra: Matrix Multiplication and the Dot Product of a Vector
Views: 305 Eva Loveland
Linear Algebra 11h: A Few Matrix Multiplication Examples
 
16:14
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be promptly addressed. Linear Algebra is one of the most important subjects in mathematics. It is a subject with boundless practical and conceptual applications. Linear Algebra is the fabric by which the worlds of geometry and algebra are united at the most profound level and through which these two mathematical worlds make each other far more powerful than they ever were individually. Virtually all subsequent subjects, including applied mathematics, physics, and all forms of engineering, are deeply rooted in Linear Algebra and cannot be understood without a thorough understanding of Linear Algebra. Linear Algebra provides the framework and the language for expressing the most fundamental relationships in virtually all subjects. This collection of videos is meant as a stand along self-contained course. There are no prerequisites. Our focus is on depth, understanding and applications. Our innovative approach emphasizes the geometric and algorithmic perspective and was designed to be fun and accessible for learners of all levels. Numerous exercises will be provided via the Lemma system (under development) We will cover the following topics: Vectors Linear combinations Decomposition Linear independence Null space Span Linear systems Gaussian elimination Matrix multiplication and matrix algebra The inverse of a matrix Elementary matrices LU decomposition LDU decomposition Linear transformations Determinants Cofactors Eigenvalues Eigenvectors Eigenvalue decomposition (also known as the spectral decomposition) Inner product (also known as the scalar product and dot product) Self-adjoint matrices Symmetric matrices Positive definite matrices Cholesky decomposition Gram-Schmidt orthogonalization QR decomposition Elements of numerical linear algebra I’m Pavel Grinfeld. I’m an applied mathematician. I study problems in differential geometry, particularly with moving surfaces.
Views: 2469 MathTheBeautiful
Matrix multiplication (part 1)
 
13:41
Multiplying two 2x2 matrices. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/multiplying_a_matrix_by_a_matrix?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription
Views: 1108658 Khan Academy
Matrix Multiplication
 
06:26
Multiply matrices the easy way, using dot products Check out my Matrix Algebra playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmAIZGo2l8SWvsHeeCLzamx0 Subscribe to my channel: https://www.youtube.com/channel/UCoOjTxz-u5zU0W38zMkQIFw
Views: 1885 Dr Peyam
Multiplying a matrix by a column vector | Matrices | Precalculus | Khan Academy
 
03:57
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/e/multiplying_a_matrix_by_a_vector?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/defined-and-undefined-matrix-operations?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/multiplying-a-matrix-by-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 177158 Khan Academy
Multiplying matrices : NCERT CLASS 12:Pre calculus :Algebra
 
04:34
how to multiply matrices is a que in mind of students.this is very simple method for begineers. Matrices and Determinants in Most imp. Chapter for class 12 . Matrix multiplication: Very Simple Method matrix multiplication, matrices , matrix product, matrix multiplication calculator, matrix calculator , matrix algebra , multiplication of matrices matrix math matrices multiplication matrix multiplication rules vector multiplication multiplication of matrix matrix operations product matrix matrix inverse matrix calculation math matrix matrix multiplication example matrix determinant calculator product of matrices multiplying vectors scalar matrix matrix multiply multiplying 2x2 matrices basic matrix operations matrix multiplication online column multiplication matrix products online matrix vector multiplication vector matrix multiplication 3x3 matrix multiplication matrix dot product multiplying matrices calculator 2x2 matrix multiplication multiplication of two matrix multiply two matrices solving matrices matrix products math matrix rules online matrix multiplication vector matrix multiplication matrice 2 by 2 matrix dot product matrix multiple matrix matrix arithmetic multiply matrices calculator multiplying matrices 2x2 addition of matrices product of two matrices matrix squared matrix in math matrix multiplication formula 2 by 3 matrix multiplying 3 matrices inverse of matrix inner product matrix echelon form of a matrix matrix multiplication 2x2 matrix product calculator matrix examples matrix vector graph vector square matrix multiplication matrix multiplication properties example of matrix dot product of matrices column vector rules for multiplying matrices inverse matrix squaring a matrix matrix determinant matrix inner product magnitude of vector multiplying 3x3 matrices matrix formula 2 by 2 matrix multiplication scalar matrix multiplication multiplying matrices 3x3 matrix multiplication c++ scalar multiplication of matrices order of matrix multiplication matrix times vector 3 by 2 matrix 2 x 3 matrix multiply 2 matrices matrix calculations matrix multiplication rule online matrix solver matrix multiplication 3x3 multiplying matrices rules online matrix product two by two matrix multiplication of a matrix matrix algebra calculator matrices multiplication calculator solving 3x3 matrices matrix multiplication order multiply matrices online product of a matrix matrix vector product inner product of matrices matrix online calculator adding matrices multiplication of matrices examples 2 by 4 matrix multiplication of matrices rules matrix x matrix matrix multiplication commutative nxn matrix multiplication square matrix matrices multiplication examples multiplication of 2 matrices multiply matrix by vector 2 by 2 multiplication 4x4 matrix multiplication matrix times matrix matrix operations calculator c matrix multiplication 3 by 4 matrix multiply matrices 2x2 example of matrix multiplication matrix two calculator matrix multiplication arrays multiplication of matrices 2x2 3 matrix multiplication multiplying a matrix determinant of matrix matrix scalar multiplication multiplication of matrices 3x3 multiplication in matrix dot product of two matrices matrix math examples elementary matrix calculator vector 4 x 3 matrix estimating quotients dividing matrices condition for matrix multiplication invert matrix 3 x 2 matrix 3 by 1 matrix algebra 2 matrices identity matrix multiplication of 3 matrices scalar matrix example matrix b math matrix problems multiplication of matrices calculator matrix properties symmetric matrix multiplying matrices examples scalar multiplication of matrix math matrix multiplication matrix dot product calculator vector multiplication example multi array 3 by 3 matrix multiplication matrix math calculator multiply vector by matrix multiplying matrices 2x3 3x2 multiple of matrix matrix multiplication solver matrix algebra rules 4 by 2 matrix vector magnitude product of 2 matrices multiplication tool product multiplication scalar multiplication matrix simple matrix multiplication calculate matrix multiplication math matrix formula 2x2 multiplication matrices practice commutative matrices matrix by matrix multiplication 2 by 1 matrix matrix multiplication condition
Views: 45847 Mandhan Academy
Matrix Multiply as Dot Product 'Things I Hadn't Noticed'
 
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I hadn't seen that matrix multiplies are really just dot products until last week.
Views: 4191 Hamilton Carter
Transpose of a matrix product | Matrix transformations | Linear Algebra | Khan Academy
 
08:50
Taking the transpose of the product of two matrices Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-transposes-of-sums-and-inverses?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-determinant-of-transpose?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 66733 Khan Academy
How to multiply a matrix and vector numerically and visually
 
06:22
Testing out this animation tool I'm making https://github.com/JonComo/anim Starting with smaller videos, ultimately working my way towards a series on neural networks, so stick around for that! I'm going to cover everything assuming no background knowledge. It's going to be a lot to cover but I'm excited to go through it step by step and make it as understandable as I can.
Views: 6226 giant_neural_network
Element by Element Multiplication in Matrices (Dot Product)
 
04:31
Visualisation of elements in a Matrix as objects. Description of Element by Element Multiplication of Matrices (Dot Product) Using MATLAB. Written notes: https://dellwindowsreinstallationguide.com/element-by-element-operations-multiplication/
Views: 9 Philip Yip
Multiplying Matrices - Example 2
 
05:27
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Multiplying Matrices - Example 2. In this video, I multiply a 2 x 3 matrix by a 3 x 1 matrix. For more free math videos, check out http://PatrickJMT.com
Views: 232495 patrickJMT
how to multiply 3x3 matrices dot product of two matrices
 
05:05
compute the product of 3x3 matrices dot product of two matrices how to multiply 3x3 matrices
Cross Product and Dot Product: Visual explanation
 
04:08
Visual interpretation of the cross product and the dot product of two vectors. My Patreon page: https://www.patreon.com/EugeneK
13E A Matrix Equation for the Dot Product
 
03:01
Writing the Euclidean inner product in the form of matrix multiplication.
Views: 1570 Juan Klopper
Linear Algebra 11x: The Transpose of a Product
 
06:11
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be promptly addressed. Linear Algebra is one of the most important subjects in mathematics. It is a subject with boundless practical and conceptual applications. Linear Algebra is the fabric by which the worlds of geometry and algebra are united at the most profound level and through which these two mathematical worlds make each other far more powerful than they ever were individually. Virtually all subsequent subjects, including applied mathematics, physics, and all forms of engineering, are deeply rooted in Linear Algebra and cannot be understood without a thorough understanding of Linear Algebra. Linear Algebra provides the framework and the language for expressing the most fundamental relationships in virtually all subjects. This collection of videos is meant as a stand along self-contained course. There are no prerequisites. Our focus is on depth, understanding and applications. Our innovative approach emphasizes the geometric and algorithmic perspective and was designed to be fun and accessible for learners of all levels. Numerous exercises will be provided via the Lemma system (under development) We will cover the following topics: Vectors Linear combinations Decomposition Linear independence Null space Span Linear systems Gaussian elimination Matrix multiplication and matrix algebra The inverse of a matrix Elementary matrices LU decomposition LDU decomposition Linear transformations Determinants Cofactors Eigenvalues Eigenvectors Eigenvalue decomposition (also known as the spectral decomposition) Inner product (also known as the scalar product and dot product) Self-adjoint matrices Symmetric matrices Positive definite matrices Cholesky decomposition Gram-Schmidt orthogonalization QR decomposition Elements of numerical linear algebra I’m Pavel Grinfeld. I’m an applied mathematician. I study problems in differential geometry, particularly with moving surfaces.
Views: 3624 MathTheBeautiful
The difference between the dot product, and the inner product.
 
09:54
This lesson discusses the notations involved with the dot product, and the notation that is involved with the inner product. We will go more in depth in the actual book.
Views: 7839 JJtheTutor
3.4.1 Matrix-vector multiplication via  dot product
 
09:20
3.4.1 Matrix-vector multiplication via dot product
Dot products and duality | Essence of linear algebra, chapter 9
 
14:12
Dot products are a nice geometric tool for understanding projection. But now that we know about linear transformations, we can get a deeper feel for what's going on with the dot product, and the connection between its numerical computation and its geometric interpretation. Full series: http://3b1b.co/eola Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced. http://3b1b.co/support ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: https://goo.gl/WmnCQZ Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown
Views: 557237 3Blue1Brown
Calculating dot and cross products with unit vector notation | Physics | Khan Academy
 
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Calculating the dot and cross products when vectors are presented in their x, y, and z (or i,j, and k) components. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/flux-and-magnetic-flux?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/dot-vs-cross-product?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 324454 Khan Academy
Linear Algebra – Introduction Einstein summation convention and the symmetry of the dot product
 
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Mathematics for Machine Learning: Linear Algebra, Module 4 Matrices make linear mappings To get certificate subscribe at: https://www.coursera.org/learn/linear-algebra-machine-learning/home/welcome ============================ Mathematics for Machine Learning: Linear Algebra: https://www.youtube.com/playlist?list=PL2jykFOD1AWazz20_QRfESiJ2rthDF9-Z ============================ Youtube channel: https://www.youtube.com/user/intrigano ============================ https://scsa.ge/en/online-courses/ https://www.facebook.com/cyberassociation/ About this course: In this course on Linear Algebra we look at what linear algebra is and how it relates to vectors and matrices. Then we look through what vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors, and how to use these to solve problems. Finally we look at how to use these to do fun things with datasets - like how to rotate images of faces and how to extract eigenvectors to look at how the Pagerank algorithm works. Since we're aiming at data-driven applications, we'll be implementing some of these ideas in code, not just on pencil and paper. Towards the end of the course, you'll write code blocks and encounter Jupyter notebooks in Python, but don't worry, these will be quite short, focussed on the concepts, and will guide you through if you’ve not coded before. At the end of this course you will have an intuitive understanding of vectors and matrices that will help you bridge the gap into linear algebra problems, and how to apply these concepts to machine learning. Who is this class for: This course is for people who want to refresh their maths skills in linear algebra, particularly for the purposes of doing data science and machine learning, or learning about data science and machine learning. We look at vectors, matrices and how to apply these to solve linear systems of equations, and how to apply these to computational problems. ________________________________________ Created by: Imperial College London Module 4 Matrices make linear mappings In Module 4, we continue our discussion of matrices; first we think about how to code up matrix multiplication and matrix operations using the Einstein Summation Convention, which is a widely used notation in more advanced linear algebra courses. Then, we look at how matrices can transform a description of a vector from one basis (set of axes) to another. This will allow us to, for example, figure out how to apply a reflection to an image and manipulate images. We'll also look at how to construct a convenient basis vector set in order to do such transformations. Then, we'll write some code to do these transformations and apply this work computationally. Learning Objectives • Identify matrices as operators • Relate the transformation matrix to a set of new basis vectors • Formulate code for mappings based on these transformation matrices • Write code to find an orthonormal basis set computationally
Views: 852 intrigano
Introduction to Neural Networks for C#(Class 2/16, Part 4/5) - matrix mathematics, dot product
 
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Learn Neural Net Programming: http://www.heatonresearch.com/course/intro-neural-nets-cs In class session 2, part 4 we will look at matrix operations that are important to neural networks. We will see matrix multiplication, dot product, as well as matrix addition and subtraction.
Views: 11642 Jeff Heaton
Cross Product of Two Vectors Explained!
 
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This physics video tutorial explains how to find the cross product of two vectors using matrices and determinants and how to confirm your answer using the dot product formula. This video contains plenty of examples and practice problems using the components i j k.
Addition & Multiplication of Matrices in Hindi
 
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Namaste to all Friends, This Video Lecture Series presented By VEDAM Institute of Mathematics is Useful to all students of Class 11th & 12th of CBSE, ICSE, MP Board and other boards of India. we have try to providing quality content without any charge. our Aim is to provide Basic Fundamental concept of maths to all those students who willing to learn it and have no fees to pay coaching Institutes. our Video Lecture are Useful for IITJEE, NDA, Engineering Entrance Exam, Board Exams etc. You can ask your maths problems through our facbook page "VEDAM Institute of Mathematics, Bhopal " . For detail of Institute's Courses, Please visit on :www.vedaminstitute.in Important Links: School Maths video for Class 11th & 12th: https://www.youtube.com/my_videos?o=U Competitive Maths Videos: https://www.youtube.com/my_videos?o=U Engineering Maths Videos & Engineering Geology Video: https://www.youtube.com/my_videos?o=U All the best... Vande Matram
Views: 3076 Jaipal Vishwakarma
Multiplying matrices
 
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Multiplying matrices example explained step by step. http://MathMeeting.com
Views: 656855 Math Meeting
How To Calculate Cross Product Matrix
 
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Test Paper on Dot and Cross Product: https://www.youtube.com/watch?v=t3aJ0CZmBVc&list=PLJ-ma5dJyAqrMPYMTKeGhBScnG49swF1O&index=19 For Guidance Contact : [email protected]
Views: 7602 Anil Kumar
Matlab - Sect 39 - Multiplying and Dividing Matrices Element-by-Element
 
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Math Tutor Series for Matlab Programming.
Views: 14505 Ahmed Hamdy
Cross product, determinant method
 
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Description
Views: 101551 General Physics - Lowe
Multiplication Of Matrices Numerical
 
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Multiplication Of Matrices In mathematics, matrix multiplication is the operation of multiplying a matrix with either a scalar or another matrix. This article gives an overview of the various types of matrix multiplication. he ordinary matrix product is the most often used and the most important way to multiply matrices. It is defined between two matrices only if the width of the first matrix equals the height of the second matrix. Multiplying an m×n matrix with an n×p matrix results in an m×p matrix. If many matrices are multiplied together, and their dimensions are written in a list in order, e.g. m×n, n×p, p×q, q×r, the size of the result is given by the first and the last numbers (m×r), and the values surrounding each comma must match for the result to be defined. The ordinary matrix product is not commutative. The element x3,4 of the above matrix product is computed as follows The first coordinate in matrix notation denotes the row and the second the column; this order is used both in indexing and in giving the dimensions. The element at the intersection of row i and column j of the product matrix is the dot product (or scalar product) of row i of the first matrix and column j of the second matrix. This explains why the width and the height of the matrices being multiplied must match: otherwise the dot product is not defined. The figure to the right illustrates the product of two matrices A and B, showing how each intersection in the product matrix corresponds to a row of A and a column of B. The size of the output matrix is always the largest possible, i.e. for each row of A and for each column of B there are always corresponding intersections in the product matrix. The product matrix AB consists of all combinations of dot products of rows of A and columns of B. Checkout for more information: https://math.tutorvista.com/algebra/matrices.html Follow us at: https://www.facebook.com/tutorvista https://twitter.com/TutorVista
Views: 6705 TutorVista
Boolean Matrix Multiplication: Easy to Follow Example!
 
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In this video, I go through an easy to follow example that teaches you how to perform Boolean Multiplication on matrices. This makes a confusing process easy. Feel free to comment with any remaining questions you still have, and of course I'm always open to feedback and suggested topics. Have an integreat day!
Views: 24728 MathHacks
Matrix Multiplication Casio Fx 991ES PLUS
 
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This video will show you how to multiply two matrices using your Casio Fx-991ES Plus. To access the matrix mode press mode 6. As always to return your calculator to normal press mode 1.
Views: 329842 Calculator Expert
Matrices Multiplication
 
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Full example of matrices multiplying from Educator.com’s Linear Algebra class. Want more than just one video example? Our full lesson includes in-depth video explanations of dot product and matrices with even more worked out examples. ►See the entire syllabus at http://www.educator.com/mathematics/linear-algebra/hovasapian/?utm_source=YT&utm_medium=SEO&utm_campaign=LINALGYT In this video, we’ll discuss how to solve a matrix multiplying question. By going through its definition in details, you will learn how to multiply matrices in a step by step process. We will also explain how matrices relate to linear systems. This will be useful in Linear Algebra when you are learning matrices multiplication and linear systems. Like other instructors such as Khan Academy, patrickjmt, and MITopencourseware? Our Linear Algebra instructor is pretty awesome too. Combining his triple degrees in Mathematics, Chemistry, and Classics, along with 10+ years of teaching experience, Professor Hovasapian expertly helps students understand difficult Linear Algebra concepts. His other courses on Educator include AP Chemistry, Multivariable Calculus, and Linear Algebra on Educator. So what are you waiting for? Join over 100K satisfied high school and college students who have aced their classes and exams with http://www.Educator.com’s videos.
Views: 441 Educator.com
Linear Algebra | Matrix Multiplication
 
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In this video I teach you intuitively how to multiply matrices starting from an operation you already know: the dot-(or scalar-) product. Because the dot-product can be interpreted as the simplest matrix multiplication.
Views: 46 LuckyMath