【課本講義】S. Friedberg, A. Insel, L. Spence, Linear algebra, 4th edition
【第四章】Determinants 行列式
【第五章】Diagonalization 對角化
-
§5.1 特徵值與特徵向量(上) Eigenvalues and Eigenvectors (I) (44:40)
-
§5.1 特徵值與特徵向量(下) Eigenvalues and Eigenvectors (II) (42:40)
-
§5.2 可對角化性質(上) Diagonalizability (I) (73:38)
-
§5.2 可對角化性質(中) Diagonalizability (II) (58:37)
-
§5.2 可對角化性質(下) Diagonalizability (III) (46:44)
-
§5.3 矩陣極限與馬可夫鍊(上) Matrix Limits and Markov Chains (I) (70:11)
-
§5.3 矩陣極限與馬可夫鍊(下) Matrix Limits and Markov Chains (II) (60:57)
-
§5.4 不變子空間與漢米爾頓定理 Invariant Subspaces and the Cayley-Hamilton Theorem (42:19)
【第六章】內積空間 Inner Product Space
-
§6.1 內積與範數 Inner Products and Norms (79:47)
-
§6.2 (上)ＧＳ正交化過程 The Gram-Schmidt Orthogonalization Process(I) (63:53)
-
§6.2 (下)正交補集 Orthogonal Completement (II) (35:59)
-
§6.3 線性變換的伴隨算子 The Adjoint of a Linear Operator (60:07)
-
§6.4 正規算子與自伴隨算子 Normal and Self-Adjoint Operators (43:37)
-
§6.5 么正矩陣與正交矩陣 Unitary and Orthogonal Operators and Their Matrices (72:00)
-
§6.6 正交投影與譜理論 Orthogonal Projections and the Spectral Theorem (49:15)
-
§6.7* (上)奇異值分解（SVD分解） The Singular Value Decomposition (59:31)
-
§6.7* (下)偽逆算子(廣義逆矩陣) The Pseudoinverse (29:02)
【第七章】Canonical Forms 正則型式
0 留言