MATH 220: Matrices

This longer document goes into depth on the standard matrix, geometric linear transformations, and one-to-one v onto. There are drawn out visuals, theorems, and examples. (Written in Notability.)

Having trouble visualizing linear transformations? Well then you're in luck. This document explains and shows examples of linear and non-linear transformations. (Written in Notability.)

This document consists mostly of written out examples to test for linear dependency. (Written in Notability.)

As per the title, this document wholly focuses on solution sets of linear systems. The geometry of solutions in parametric form are also drawn out. (This document is written in Notability.)

This document is mostly worked out examples of matrix-vector product questions and finding solution sets. (This document is written in Notability.)

This document is not just for linear algebra students. If you're struggling with vectors in any class, this will help. It explains vector equations, vector operations, linear spans, and linear combinations in detail with visuals. (This document is in color and written in Notability.)

Here are some notes discussing the basics of row operations, REF, RREF, and the Gaussian Elimination method. The solution sets are explained in detail and the elimination methods are broken down step by step. (Notes are in color and written on Notability.)

This document is an introduction to matrices and the linear matrix. Learn how to find the matrix solution, if it has one to begin with, and how the solution relates in 3 space. The difference between a coefficient and an augmented matrix is also covered.