MATH 603 - Matrix Analysis

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Topics in this course will include a review of basic matrix operations, determinants,rank, matrix inverse and solving linear equations. The course then will study partitioned matrices, eigenvalues and eigenvectors, spectral decomposition, singular-value decomposition, Jordan canonical form, orthogonal projections, idempotent matrices, quadratic forms, extrema of quadratic forms, non-negative definite and positive definite matrices, and matrix derivatives.
Prerequisite: Prerequisite: MATH 221, 251 and 301, or permission of the instructor.