<p><i>Linear Algebra: Algorithms, Applications, and Techniques, Fourth Edition</i>, begins with the concrete and computational, and guides the reader through the major applications. After an introductory chapter on properties of real numbers and proof techniques, the next three chapters address the basics: matrices, vector spaces, and linear transformations. The final four cover eigenvalues, applications, and Euclidean inner products. Appendices on Jordan canonical forms and Markov chains are included for further study.</p><p>This valuable resource offers a modern and algorithmic approach to computation while providing clear and straightforward theoretical background information. Throughout, this useful textbook presents broad and balanced views of theory, with key material highlighted in the text and summarized at the end of each chapter. To further support student practice, the book also includes ample exercises with answers and hints.</p>