General vector spaces. Inner product spaces. Orthonormal bases. Gram-Schmidt process. QR-decomposition. Least squares. Change of basis. Eigenvalues, eigenvectors, and diagonalization. Orthogonal diagonalization. Linear transformations. Quadratic forms. Applications.

Credit Restriction: Credit may be obtained for only one of Mathematics 224 or MAT 121

Prerequisites: ((Math 31 or equivalent) or MAT 113 or Mathematics 114) and Mathematics 120 [C- minimum grade required] and Mathematics 200 [C- minimum grade required] and 2nd year standing required
Further information: Course availability and times