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Week
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Topics
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Study Metarials
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1
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Matrices and Basic Operations of Matrices
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R1: Section 1.1,1.2,1.3,1.4
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2
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LU Decomposition of a Matrix
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R1: Section 3.5
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3
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Eigenvalues and Eigenvectors of a Matrix and Related Properties
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R1: Section 5.1, 5.2, 5.3
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4
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Linear Independent Eigenvectors
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R1: Section 5.4, 5.5
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5
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Power Methods
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R1: Section 5.6
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6
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Polynomial of a Matrix in Distinct and General Cases
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R1: Section 7.3, 7.4
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7
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Generalized Eigen Vectors
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R1: Section 9.1,9.2,9.3, 9.4
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8
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Chains
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R1: Section 9.5
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9
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Canonical Basis
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R1: Section 9.6
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10
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Jordan Canonical Forms of Matrices
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R1: Section 9.7
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11
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Complex Inner Product and Self Adjoint Matrices
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R1: Section 10.1, 10.2
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12
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Real Symmetric and Orthogonal Matrices
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R1: Section 10.3,10.4
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13
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Hermitian and Uniter Matrices
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R1: Section 10.5,10.6
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14
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Positive Definite Matrices
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R1: Section 10.8
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