: In-depth coverage of vector spaces, linear transformations, inner product spaces, and bilinear transformations.
: Definitions, matrix operations (addition, multiplication, transposition), and properties over arbitrary fields. kb datta matrix and linear algebra pdf repack
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| Book | Style | Proofs | Applications | Exercises | |------|-------|--------|--------------|-----------| | | Traditional, matrix-first | Rigorous | Few | Many, tiered | | Strang (MIT) | Conceptual, applied | Moderate | Many | Moderate | | Hoffman & Kunze | Abstract, vector space-first | Very rigorous | None | Hard | | Anton & Rorres | Balanced | Moderate | Good | Many, easy-medium | inner product spaces