Emphasizes algebra and geometry connection to motivate advanced linear algebra techniques
Explores matrix decompositions such as SVD, Jordan, and more for a complete toolkit
Introduces tensors and multilinearity to expand understanding of abstract structures
Includes QR, Cholesky, and semidefinite programming exercises for practical application
Engaging color presentation and frequent marginal notes for visual learning
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Advanced Linear and Matrix Algebra Johnston, Nathaniel
This textbook emphasizes the interplay between algebra and geometry to motivate the study of advanced linear algebra techniques. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. Building on a