Sal explains how we can find the inverse of a 3x3 matrix using Gaussian elimination.

For anyone that's confused, matrix composition is just matrix multiplication in a specific order. For example, A º B isn't equal to B º A.

A graph represents a single function, from x onto y. A matrix holds a lot more information than that. Matrices perform transformations on the entire space they act upon, so I'm not …

An m x n matrix is a member of the vector space M (m,n), which represents the set of all matrices with 'm' rows and 'n' columns, where the entries can be real numbers or, more generally, …

A matrix is an array of numbers that we surround with square brackets. The dimension of a matrix is how many rows and columns it has, which we write as rows × columns .

So let's imagine a matrix as a transformation, which we have already talked about it. When we think about matrices as transformations they really are functions.

A matrix is a rectangular arrangement of numbers into rows and columns. Each number in a matrix is referred to as a matrix element or entry. The dimensions of a matrix give the number …

The dimensions of a matrix tell the number of rows and columns of the matrix in that order. Since matrix A has 2 rows and 3 columns, it is called a 2 × 3 matrix.

Hopefully this at least gives you a decent understanding of what an augmented matrix is, what reduced row echelon form is, and what are the valid operations I can perform on a matrix …

So we didn't even have to write a big augmented matrix here. We can say, take our matrix A, put it in reduced row echelon form and then figure out it's null space.