線性代數(二) Linear Algebra II

矩陣理論或線性代數在自然科學、工程領域、社會科學及其他數學分支皆有具體且廣泛的應用價值。本課程的目的有二：一為訓練學生能對線性代數 (矩陣) 的理論基礎有深入的瞭解，二為透過在不同領域的應用體會到此科目的的應用力量。

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6.5 Unitary and Orthogonal Operators and Their Matrices

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(講義) 第七章 Canonical Forms

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(講義) 第六章 Inner Product Spaces

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(講義) 第五章 Diagonalization

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6.7 The Singular Value Decomposition

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02:26:54

第七章 Canonical Forms

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02:25:50

6.2 The Gram-Schmidt Orthogonalozation Process and Orthogonal Complements

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02:22:22

6.3 The Adjoint of a Linear Operator

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03:14:45

6.4 Normal And Self-Adjoint Operators

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02:32:22

6.1 Inner Products and Norms F = R or C

第六章 Inner Product Spaces

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01:19:42

5.3 Matrix Limits and Markov Chains

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04:19:44

6.6 Orthogonal Projections and The Spectral Theorem

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39:10

5.2 Diagonalizability

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03:14:56

5.1 Eigenvalues and Eigenvectors

第五章 Diagonalization

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02:20:00

5.4 Invariant Subspaces and The Cayley-Hamiltion Theorem

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01:38:18
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