In this book, we introduce matrices and discuss their basic properties. The concepts of matrix addition, subtraction, and multiplication are introduced in a clear, step-by-step manner. Many examples are given throughout to aid in the understanding and execution of new concepts, sometimes making use of color to illustrate more complicated ideas. Square, diagonal, identity, and zero matrices are also discussed and explained at length with several examples. The goal of this book is to teach students a practical way of thinking about what matrices are and how they work, in a way suitable for all students. We strongly believe in teaching by examples, and that repetition is the best way to internalize new ideas. Each example intends to guide the student through the thinking process without skipping steps and touches on all of the new material presented.
