Matrix Mathematics

Matrix Mathematics

  • Stephan Ramon Garcia
  • Roger A. Horn
Publisher:Cambridge University PressISBN 13: 9781108945592ISBN 10: 1108945597

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Matrix Mathematics is written by Stephan Ramon Garcia and published by Cambridge University Press. It's available with International Standard Book Number or ISBN identification 1108945597 (ISBN 10) and 9781108945592 (ISBN 13).

Using a modern matrix-based approach, this rigorous second course in linear algebra helps upper-level undergraduates in mathematics, data science, and the physical sciences transition from basic theory to advanced topics and applications. Its clarity of exposition together with many illustrations, 900+ exercises, and 350 conceptual and numerical examples aid the student's understanding. Concise chapters promote a focused progression through essential ideas. Topics are derived and discussed in detail, including the singular value decomposition, Jordan canonical form, spectral theorem, QR factorization, normal matrices, Hermitian matrices, and positive definite matrices. Each chapter ends with a bullet list summarizing important concepts. New to this edition are chapters on matrix norms and positive matrices, many new sections on topics including interpolation and LU factorization, 300+ more problems, many new examples, and color-enhanced figures. Prerequisites include a first course in linear algebra and basic calculus sequence. Instructor's resources are available.