Bilinear maps | Multiplication | Matrix theory | Numerical linear algebra
In mathematics, particularly in linear algebra, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, has the number of rows of the first and the number of columns of the second matrix. The product of matrices A and B is denoted as AB. Matrix multiplication was first described by the French mathematician Jacques Philippe Marie Binet in 1812, to represent the composition of linear maps that are represented by matrices. Matrix multiplication is thus a basic tool of linear algebra, and as such has numerous applications in many areas of mathematics, as well as in applied mathematics, statistics, physics, economics, and engineering.Computing matrix products is a central operation in all computational applications of linear algebra. (Wikipedia).
Matrix multiplication. How to multiply matrices. In this video I show you how we define the multiplication of matrices. As you will see, it is not so simply as multiplying two numbers. Matrices can only be multiplied when the number of columns in the first matrix is similar to the numb
From playlist Introducing linear algebra
This is the second video of a series from the Worldwide Center of Mathematics explaining the basics of matrices. This video deals with multiplying two matrices. For more math videos, visit our channel or go to www.centerofmath.org
From playlist Basics: Matrices
This video explains how to multiply matrices. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Matrices
Matrix Addition, Subtraction, and Scalar Multiplication
This video shows how to add, subtract and perform scalar multiplication with matrices. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Introduction to Matrices and Matrix Operations
Ex 1: Matrix Multiplication (Basic)
This video provides examples of matrix multiplication. One example is defined and one example is undefined. Site: http://mathispower4u.com
From playlist Introduction to Matrices and Matrix Operations
Motivation for the definition of matrix multiplication. Alternative ways of thinking about matrix multiplication.
From playlist Linear Algebra Done Right
How do we add matrices. A matrix is an abstract object that exists in its own right, and in this sense, it is similar to a natural number, or a complex number, or even a polynomial. Each element in a matrix has an address by way of the row in which it is and the column in which it is. Y
From playlist Introducing linear algebra
Ex: Matrix Scalar Multiplication
This video explains how to perform scalar multiplication. Site: http://mathispower4u.com
From playlist Introduction to Matrices and Matrix Operations
Matrix Multiplication — Topic 19 of Machine Learning Foundations
In this video from my Machine Learning Foundations series, I’ll demonstrate matrix multiplication – the single most important and widely-used mathematical operation in machine learning. To ensure you get a solid grip on the principles of this key skill, we’ll use color diagrams, calculatio
From playlist Linear Algebra for Machine Learning
Lecture 01-03 Linear Algebra review
Machine Learning by Andrew Ng [Coursera] 0113 Matrices and vectors 0114 Addition and scalar multiplication 0115 Matrix-vector multiplication 0116 Matrix-matrix multiplication 0117 Matrix multiplication properties 0118 Inverse and transpose
From playlist Machine Learning by Professor Andrew Ng
► 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 tog
From playlist Popular Questions
We start discussing how to label matrices and their elements. We then define Order of Matrices and Equal Matrices working an example at 5:49. I then discuss Adding Matrices at 9:40 and work through three examples. Properties of Adding Matrices are explained at 16:00 Scalar Multiplication
From playlist Linear Algebra
Linear Algebra - Lecture 22 - Properties of Matrix Multiplication
In this lecture, I'll discuss the algebraic properties of matrix multiplication. We'll talk about proving some of the properties, and work through several examples.
From playlist Linear Algebra Lectures
Vectors and matrices, multiplication, rank
This series of lecturelets is all about matrix analysis. This first lecture is necessary for all the other ones, because it provides important introductions to what can be done with matrices and vectors, how to scale and multiply them, special kinds of matrices, rank and indendence, and ot
From playlist OLD ANTS #9) Matrix analysis
Math 060 Fall 2017 112217C Diagonalization Part 2
Review: the matrix representation of a matrix with respect to an eigenvector basis is a diagonal matrix of eigenvalues. Definition: diagonalizable matrix. Alternate proof of the fact that a matrix is diagonalizable iff there exists an eigenvector basis. Exercise: diagonalize a matrix.
From playlist Course 4: Linear Algebra (Fall 2017)
We finally define a matrix -- Abstract Linear Algebra 14
⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn ⭐my other channels⭐ Main Channel: https://www.youtube.com/michaelpennmath non-math podcast: http
From playlist Abstract Linear Algebra
14 - Properties of matrix multiplication
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Linear Algebra 11c: Definition of Matrix Multiplication for Single Columns on the Right
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications