Matrices are a growing field in mathematics. More and more people are discovering the beauty and usefulness of matrices throughout academia and in industry. With the current movement of Artificial Intelligence, matrices can be used to model various different applications in engineering, cryptography, long-term forecasting, and with decision making with probabilities. Regardless of how big or small a given matrix is associated with a problem; they can offer insights with clear results to large-scale global problems down to smaller applications as in local planning departments. This book offers the student the chance to see these applications and encourages students to think beyond the scope of this book while looking at rigorous calculations. The problem sets build with various levels of techniques in each section by offering problems that work out nicely with integers to decimal answers. It is highly recommended to have a graphing calculator to perform these more in-depth calculations. Another major part of the book is it offers complete solutions for examples and exercises for all problems. This way, students can learn the solutions, which can guide them to further study. Lastly, the book offers effective study skills that can be used in a mathematics course and beyond. I truly believe that having study skills waved into class discussions and in texts offers students a new perspective on how to study and retain information instead of cramming information the night before an exam.