6.1 Introduction to Linear Transformation, 6.2 Kernel and Range

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