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Linear Algebra 20j: The Dot Product, Matrix Multiplication, and the Magic of Orthogonal Matrices
 
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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: 4673 MathTheBeautiful
❤² Matrix Multiplication.. How? (mathbff)
 
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Follow @mathbff on Instagram, Facebook and Twitter!
Views: 76276 mathbff
Vector dot product and vector length | Vectors and spaces | Linear Algebra | Khan Academy
 
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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: 642870 Khan Academy
GG413: Matrix Addition, Vector Dot Product, Matrix Multiplication
 
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University of Hawaii, Dept. of Geology & Geophysics, Garrett Apuzen-Ito, GG413: Geological Data Analysis www.soest.hawaii.edu/GG/FACULTY/ITO/GG413
Views: 2153 Garrett Apuzen-Ito
Matrix vector products | Vectors and spaces | Linear Algebra | Khan Academy
 
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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: 235144 Khan Academy
Vectors - The Dot Product
 
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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: 834815 patrickJMT
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: 427535 Khan Academy
Dot products and duality | Essence of linear algebra, chapter 9
 
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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: 443195 3Blue1Brown
Cross Product and Dot Product: Visual explanation
 
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Visual interpretation of the cross product and the dot product of two vectors. My Patreon page: https://www.patreon.com/EugeneK
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.
week6 part1 Different styles for Matrix multiplication
 
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Interpretations of A.B in terms of dot products of rows of A with columns of B, A with columns of B, rows of A with B, row matrices of A with column matrices of B, sum of outer products of columns of A with corresponding rows of B. AX, X a vector, is the linear combination of columns of A with weights same as entries of vector X.
Views: 85 online math
Multiplying matrices
 
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Multiplying matrices example explained step by step. http://MathMeeting.com
Views: 588722 Math Meeting
Scalar multiplication | Matrices | Precalculus | Khan Academy
 
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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: 386658 Khan Academy
How to multiply a matrix and vector numerically and visually
 
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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: 3514 giant_neural_network
13E A Matrix Equation for the Dot Product
 
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Writing the Euclidean inner product in the form of matrix multiplication.
Views: 1503 Juan Klopper
how to multiply 3x3 matrices dot product of two matrices
 
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compute the product of 3x3 matrices dot product of two matrices how to multiply 3x3 matrices
3.4.1 Matrix-vector multiplication via  dot product
 
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3.4.1 Matrix-vector multiplication via dot product
Linear Algebra: Matrix Multiplication and the Dot Product of Vectors
 
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This video is about Linear Algebra: Matrix Multiplication and the Dot Product of a Vector
Views: 246 Eva Loveland
Multiplying matrices : NCERT CLASS 12:Pre calculus :Algebra
 
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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: 38508 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: 4066 Hamilton Carter
Dot Product and Matrix Multiplication by Free Academy
 
01:49:46
This is video number 3 in the Linear Algebra series by Free Academy
Matrix multiplication (part 1)
 
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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: 1057326 Khan Academy
Multiplying a matrix by a column vector | Matrices | Precalculus | Khan Academy
 
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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: 172006 Khan Academy
Different styles for Matrix multiplication, Lecture 8
 
45:09
Interpretations of A.B in terms of dot products of rows of A with columns of B, A with columns of B, rows of A with B, row matrices of A with column matrices of B, sum of outer products of columns of A with corresponding rows of B. AX, X a vector, is the linear combination of columns of A with weights same as entries of vector X.
Views: 134 Omnia A
The Dot Product Defined
 
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The definition of the dot product and its relation to matrix multiplication.
Views: 276 Jason Rose
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: 268397 Calculator Expert
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: 16881 MathHacks
Matrix Multiplication
 
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Check us out at http://math.tutorvista.com/algebra/matrix-multiplication.html Matrix Multiplication The 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. Please like our facebook page http://www.facebook.com/tutorvista Follow us at: https://plus.google.com/+tutorvista
Views: 1123 TutorVista
How To Calculate Cross Product Matrix
 
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For Guidance Contact : [email protected]
Views: 6261 Anil Kumar
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: 11505 Jeff Heaton
Matrix multiplication as composition | Essence of linear algebra, chapter 4
 
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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: 600380 3Blue1Brown
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.
Views: 604 Skill Ark
R tutorial : Matrix Multplication
 
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kobriendublin.wordpress.com Matrix multiplication of two square matrices A and B.
Views: 4521 Dragonfly Statistics
The Cross Product
 
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Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! In this video, I give the formula for the cross product of two vectors, discuss geometrically what the cross product is, and do an example of finding the cross product. For more free math videos, visit http://PatrickJMT.com
Views: 705500 patrickJMT
Vectors Operations in 3D -- Dot Product and Matrix Multiplication   Example 3
 
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In this presentation we shall review the different properties of vector operations in 3D and also solve some example problems.
Views: 2528 Ram Polepeddi
Matrix Multiplication in Java Practical
 
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Check out our website: http://www.telusko.com Follow Telusko on Twitter: https://twitter.com/navinreddy20 Follow on Facebook: Telusko : https://www.facebook.com/teluskolearnings Navin Reddy : https://www.facebook.com/navintelusko Follow Navin Reddy on Instagram: https://www.instagram.com/navinreddy20 Subscribe to our other channel: Navin Reddy : https://www.youtube.com/channel/UCxmkk8bMSOF-UBF43z-pdGQ?sub_confirmation=1 Telusko Hindi : https://www.youtube.com/channel/UCitzw4ROeTVGRRLnCPws-cw?sub_confirmation=1
Views: 25436 Telusko
Quick Matrix Multiplication ALL Types Class 12 : CBSE
 
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Matrices shortcuts and tricks Multiplication of matrices tricks to multiply matrices matrix multiplication Class 11 matrices class 12 matrices Matrices multiplication inverse 3x3 2x2 3x2 Unit II: Algebra 1. Matrices Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Noncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2).Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; 2. Determinants Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix. ► Hey, Subscribe to Channel ► ► ► 1 LIKE = Your Success :) ------------------------------------------------------------------------------------------------- ► Facebook Group ; https://goo.gl/oT8KDs ► Facebook Page : https://goo.gl/fMK4w8 ► Whatsapp : 91 - 95 79 750 256 ------------------------------------------------------------------------------------------------- ヅ ヅ ヅ Thank you For Visiting on Mandhan Academy Ref. Book Improve your Maths with Tricks and Basics: :MY Affiliate - http://amzn.to/2o2M8Jb Do watch ヅ Videos at ur own pace and Do Share. 1. ► VEDIC Maths Shortcut and TRICKS: ( Secret Maths Tricks ) : https://goo.gl/TNv2Ld 2.► HOW To Wake Up Early [ Tips and Scientific Methods ] : https://goo.gl/iy02Vt 3.► Permutation And Combination ( Tricks and Concepts ) : https://goo.gl/yR0d9O 4. ►►Class 12 Integration Tricks And Formulas (Memorization Trick) : https://goo.gl/z8gB0h 5.► Inverse of A 3x3 Matirx (in 30 SECONDS : Shortcut) : https://goo.gl/MYYXlm 6.► Matrices Multiplication (Easy Method) : https://goo.gl/AGSxZZ 7. ►Determinant of a 3X3 in just 5 sec.(Shortcut) Sarrus Rule : https://goo.gl/u0nkCO 8.►► Matrix 3x3 in 30 sec. { Fast trick in English} : https://goo.gl/Rq0OGj 9.► ► Usain BOLT Biography in Hindi [Fastest MAN of Earth] : https://goo.gl/9JTUld 10.► Integration By Parts LIATE : LIATE : UV Rule (JEE Main) : https://goo.gl/HBv9nb 11.► ►Class 12 –Matrices ; Inverse of a 3x3 Matrix : https://goo.gl/2jvXPW 12.► Class 10 [ Quadratic Equation ] - 5 methods for Factorisation : https://goo.gl/qCrhs6 13.► ►Differentiation Formulas [Memorization Trick] in just 2min. : https://goo.gl/P5c6Ot 14.► Class 9 NCERT (Math) - Number System - Rationalisation : https://goo.gl/s65wkp 15.►► Calculus Formulas [Memorization] Tricks in Hindi & English : https://goo.gl/nFFJ4Z
Views: 421947 Mandhan Academy
How do you multiply matrices?
 
08:03
► My Precalculus course: https://www.kristakingmath.com/precalculus-course In this video we’re talking about everything you need to know about matrix multiplication. We’ll start simple and look at what it means to multiply a matrix by a scalar, and then move on to multiplying matrices together using the dot product, and a special trick for remembering how to do matrix multiplication. We’ll cover rules of algebra for matrices, including commutative, associative, and distributive properties, and show that each of these properties applies to matrix multiplication, except for the commutative property. We’ll talk about matrix dimensions and how to describe a matrix by its rows and columns. We’ll address the fact that not all matrix multiplication is defined, and that you in fact need the number of columns in the first matrix to match the number of rows in the second matrix in order for the multiplication to work at all. You can also use matrix dimensions to figure out the dimensions of the resulting matrix after the multiplication. Finally, we’ll look at identity matrices and zero matrices, which act like the special numbers 1 and 0 when it comes to matrix multiplication. 0:17 // Multiplying a matrix by a scalar 0:37 // Applying algebra to matrices 0:44 // Matrix multiplication is not commutative 1:21 // Associative property and distributive property with matrices 2:00 // Matrix dimensions 2:21 // Which matrices can be multiplied together? 2:55 // How to figure out whether matrices can be multiplied together. How to figure out the dimensions of the resulting matrix. 3:40 // How to multiply matrices using the dot product 4:26 // How to remember what to put where 5:16 // Identity matrices 5:51 // Multiplying by the identity matrix is like multiplying by 1 6:31 // Multiplicative inverses 6:56 // Zero matrices 7:23 // Summary Music by Joakim Karud: http://soundcloud.com/joakimkarud ● ● ● GET EXTRA HELP ● ● ● If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com ● ● ● CONNECT WITH KRISTA ● ● ● Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;) Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!” So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com FACEBOOK // https://www.facebook.com/KristaKingMath/ TWITTER // https://twitter.com/KristaKingMath INSTAGRAM // https://www.instagram.com/kristakingmath/ PINTEREST // https://www.pinterest.com/KristaKingMath/ GOOGLE+ // https://plus.google.com/+Integralcalc/ QUORA // https://www.quora.com/profile/Krista-King
Views: 8737 Krista King
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: 3156 MathTheBeautiful
Cross product, determinant method
 
03:32
Description
Views: 71419 General Physics - Lowe
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: 4961 JJtheTutor
Matrix multiplication with tensor notation
 
08:11
We can use indices to write matrix multiplication in a more compact way.
Views: 10332 PhysicsHelps
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: 64811 Khan Academy
Scalar matrix multiplication in hindi
 
01:56
scalar matrix multiplication & its example hit that like button and subscribe my channel for more videos :)
Views: 2513 Online Class
Multiplication Of Matrices Numerical
 
03:22
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: 6552 TutorVista
Linear Algebra 11k: The Commutative Property of Matrix Multiplication - Or Lack Thereof!
 
08:48
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: 3126 MathTheBeautiful

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