This text is unique as it is written for those students interested in both the insight and the GPA! The text covers almost all topics of vectors and matrices required for a modern control using state space approach. The author has devoted his time to teach students how to see through vectors&matrices and how to master the required mathematics in a very concise manner. What makes this book unique is its illustrated and solved examples in the end of each chapter.
After you master the mathematics through Chapter 8. You will find the later chapters a piece of cake :). A nice introductory chapter on optimal control and another on nonlinear control in the end of the book make you eager to find other hardcover texts on these advanced topics. Unfortunately, you might not find them as concise and to the point as this text!
As a student, you might be more interested in (solved) examples. A (little) theory wouldn't bite as well. In this book the theory to example ratio is definitely within the range you would like to see.