Linear Algebra Done Right

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This textbook, designed for advanced undergraduate and graduate students, offers an in-depth exploration of linear algebra with a focus on singular value decomposition and its implications. The fourth edition introduces a new chapter on multilinear algebra, covering topics like bilinear forms and tensor products, while enhancing the use of minimal polynomials for clearer proofs. Additionally, it features over 250 new exercises, making it a comprehensive resource for mastering linear algebra concepts.