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Linear Algebra
Algorithms, Applications, and Techniques
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Linear Algebra: Algorithms, Applications, and Techniques, Fourth Edition, 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. 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. Introduces deductive reasoning and helps the reader develop a facility with mathematical proofs Provides a balanced approach to computation and theory by offering computational algorithms for finding eigenvalues and eigenvectors Offers excellent exercise sets, ranging from drill to theoretical/challenging along with useful and interesting applications not found in other introductory linear algebra texts
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