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This course offers a rigorous, proof-based study of linear algebra with an emphasis on abstract vector spaces and linear maps. Topics include vector spaces and subspaces, bases and dimension; linear maps, matrix representations, change of basis, and isomorphisms; eigenvalues, eigenvectors, and diagonalization; inner product spaces, orthogonality, and the Gram-Schmidt process; and selected topics including the spectral theorem and singular value decomposition. Credit is not allowed for both ²Ñ´¡Ìý405 and ²Ñ´¡Ìý520.

Prerequisite: ²Ñ´¡Ìý225 and (²Ñ´¡Ìý305 or corequisite ²Ñ´¡Ìý306)

Typically offered in Fall, Spring, and Summer