Essential Linear Algebra by Lattanzio introduces linear algebra in meticulous fashion. The rudimentary, yet commonly misunderstood, concepts and procedures are thoroughly explained in a manner unlike any other textbook. There is no shortage of examples illustrating a multitude of computational techniques. More than 325 examples reveal the power and beauty of precise calculation, and impel the motivated student to be mindful of the importance of using proper mathematical notation and terminology. Essential Linear Algebra includes formal and detailed proofs for nearly every result in the textbook. There are over 670 engaging exercises ranging from routine computational exercises to those that ask the reader to formally prove a given statement. In addition to and supplementing the exercises are more than 580 true/false statements and more than 500 concept/knowledge questions in the category of “What have you learned?” questions. To assist the readers and instructors, Appendix C provides solutions for all odd-numbered exercises. This uniquely integrative textbook is adaptable to both introductory and advanced courses, which can also be used as an invaluable resource for the fundamental aspects of linear algebra.