4.4 Spanning Sets and Linear Independence, 4.5 Basis and Dimension (1/2)

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課程內容	課程影音	課程下載
1.1 Introduction to Systems of Linear Equations 1.2 Gaussian Elimination (1/2)	線上觀看	MP4下載
1.1 Introduction to Systems of Linear Equations 1.2 Gaussian Elimination (2/2)	線上觀看	MP4下載
1.3 Applications of Systems of Linear Equations 2.1 Operations with Matrices 2.2 Properties of Matrix Operations (1/2)	線上觀看	MP4下載
1.3 Applications of Systems of Linear Equations 2.1 Operations with Matrices 2.2 Properties of Matrix Operations (2/2)	線上觀看	MP4下載
2.3 The Inverse of a Matrix 2.4 Elementary Matrices 2.5 Applications of Matrix Operations (1/2)	線上觀看	MP4下載
2.3 The Inverse of a Matrix 2.4 Elementary Matrices 2.5 Applications of Matrix Operations (2/2)	線上觀看	MP4下載
3.1 The Determinant of a Matrix 3.2 Evaluation of a Determinant Using Elementary Operations	線上觀看	MP4下載
3.3 Properties of Determinants 3.5 Applications of Determinants 4.1 Vectors in Rn	線上觀看	MP4下載
Prelim Examination I (Ch1-Ch3) (Exact date and time will be announced.) 4.2 Vector Spaces	線上觀看	MP4下載
4.3 Subspaces of Vector Spaces 4.4 Spanning Sets and Linear Independence (1/2)	線上觀看	MP4下載
4.3 Subspaces of Vector Spaces 4.4 Spanning Sets and Linear Independence (2/2)	線上觀看	MP4下載
4.4 Spanning Sets and Linear Independence 4.5 Basis and Dimension (1/2)	線上觀看	MP4下載
4.4 Spanning Sets and Linear Independence 4.5 Basis and Dimension (2/2)	線上觀看	MP4下載
4.5 Basis and Dimension 4.6 Rank of a Matrix (1/2)	線上觀看	MP4下載
4.5 Basis and Dimension 4.6 Rank of a Matrix (2/2)	線上觀看	MP4下載
4.7 Coordinates and Change of Basis 5.1 Length and Dot Product (1/2)	線上觀看	MP4下載
4.7 Coordinates and Change of Basis 5.1 Length and Dot Product (2/2)	線上觀看	MP4下載
5.2 Inner Product Spaces 5.3 Orthogonal Basis (1/2)	線上觀看	MP4下載
5.2 Inner Product Spaces 5.3 Orthogonal Basis (2/2)	線上觀看	MP4下載
5.3 Orthogonal Basis 5.4 Least Square Analysis (1/2)	線上觀看	MP4下載
5.3 Orthogonal Basis 5.4 Least Square Analysis (2/2)	線上觀看	MP4下載
Prelim Examination II ( Ch4-Ch5) (Exact date and time will be announced.) 6.1 Introduction to Linear Transformation (1/2)	線上觀看	MP4下載
Prelim Examination II ( Ch4-Ch5) (Exact date and time will be announced.) 6.1 Introduction to Linear Transformation (2/2)	線上觀看	MP4下載
6.1 Introduction to Linear Transformation 6.2 Kernel and Range	線上觀看	MP4下載
6.3 Matrices for Linear Transformations 6.4 Transition Matrices and Similarity (1/2)	線上觀看	MP4下載
6.3 Matrices for Linear Transformations 6.4 Transition Matrices and Similarity (2/2)	線上觀看	MP4下載
7.1 Eigenvalues and Eigenvectors 7.2 Diagonalization	線上觀看	MP4下載
7.2 Diagonalization 7.3 Symmetrical Matrices and Orthogonal Diagonalization	線上觀看	MP4下載

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