Advanced Linear Algebra

This graduate level textbook covers an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra. The author then proceeds to a discussion of modules, emphasizing a comparison with vector spaces.

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This is a graduate level textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to a discussion of modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators.