Linear Algebra: A Reference

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Notation, definitions, and theorems for a proof-based first course, following Friedberg, Insel & Spence: vector spaces, linear maps, determinants, eigenvalues, Jordan form, inner product spaces, the spectral theorem, and the SVD. Typeset in LaTeX.

A linear map moves the whole grid at once; dashed lines are its eigenvectors, and the shaded square’s area becomes det A.

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