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Course Discription |
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* Partitioned matrices, rank, determinants, eigenvalues, Gershgorin circle theorem, matrix polynomials, Cayley-HamiltonTheorem, characteristic and minimal polynomials, Jordan matrix, similar matrices, diagonalization, canonical forms, polar decomposition, singular value decomposition, generalized Moore-Penrose inverses, -decomposition, numerical range, matrix norms, Kronecker and Hadamard products, Schur's Theorem, normal matrices, unitary matrices, Hermitian matrices, positive matrices, the spectral Theorem. |