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

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 determinants - …

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

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.

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.

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 complicated. …

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 systems …

What we're going to do in this video is represent the same system, but we're going to represent it esssentially as a matrix equation, and we're going to solve it using inverse matrices.

Matrix determinants are easy to define and hard to understand. So let's start with defining them and introducing related notation. In other videos we will learn what they mean and how to use them.