If A is a square matrix, and you find another matrix B such that AB=I, then you can prove that BA=I as well, and that B=A^ (-1) is the only matrix with this property.

This topic covers: - Adding & subtracting matrices - Multiplying matrices by scalars - Multiplying matrices - Representing & solving linear systems with matrices - Matrix inverses - Matrix …

Matrix is an arrangement of numbers into rows and columns. Make your first introduction with matrices and learn about their dimensions and elements.

Practice solving systems of any number of linear equations using matrices and their inverses.

Matrix multiplication is a way of composing linear transformations, and the convention for matrix multiplication is designed to make this composition of linear transformations work correctly.

What I want to do in this video is explore the notion of a matrix outside of the context of a surprisingly good movie that involves Keanu Reeves. And it's actually the first of three.

When we multiply a matrix by a scalar (i.e., a single number) we simply multiply all the matrix's terms by that scalar. We can also multiply a matrix by another matrix, but this process is more …

Learn how systems of linear equations can be represented by augmented matrices. A matrix is a rectangular arrangement of numbers into rows and columns. Matrices can be used to solve …

Sal solves a linear system with 3 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form. Created by Sal Khan.

Systems of linear equations can be represented by a single matrix equation. Practice representing systems of 3 linear equations.