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In linear algebra, identity matrices are used to represent linear transformations that do not change the underlying vector space. They are often used as a starting point for solving linear systems …

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And as we develop an algebra around matrices, and when we talk about developing an algebra around matrices, we're going to talk about operations that we're going to perform on matrices …

What is a matrix? A matrix is a rectangular array of numbers arranged in rows and columns. Matrices can be useful for organizing and manipulating data. They can also be used as a tool …

Manually finding the determinants or inverses of higher dimension matrices is a lot harder than 2x2 matrices. If you are asked to do so for very high dimension matrices, it'll probably be with …

Learn what a zero matrix is and how it relates to matrix addition, subtraction, and scalar multiplication.

Learn how to perform the matrix elementary row operations. These operations will allow us to solve complicated linear systems with (relatively) little hassle!

Let's say we have two matrices A & B with a being a m by n matrix and B being a p by q matrix. Now AB is only defined when n = p, it's outside the domain of the function otherwise.

Determine the matrix that is the result of performing a specific row operation on a given matrix.