MAT 142 - Linear Algebra II

Course Objectives

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Course Description

Inner Product Spaces; standard inner product, orthogonal subspaces, orthogonal complement of a subspace, inner product, inner product spaces, normed space, Cauchy-Schwarz Inequality, orthogonal basis, orthogonal matrices, Gram-Schmidt Orthogonalization Methods. Eigenvalues and Eigenvectors; diagonalization, Cayley-Hamilton Theorem, hermitian matrices, spectral decomposition, quadratic forms. Jordan Canonical Form. Numerical Applications; Matrix norms; Condition numbers, eigenvalue problems.