MATLAB线性代数案例,MATLAB线性代数简明教程(Linear Algebra Using MATLAB)(李爽)

姬银龙
2023-12-01

Chapter 1Fundament for MATLAB1 n

1.1MATLAB Desktop1 n

1.2Vectors and Matrices7 n

1.3MATLAB Programming11 n

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Chapter 2Introductioto Vectors and Matrices20 n

2.1Vectors and Linear Combination20 n

2.2Lengths and Dot Products28 n

2.3Matrices31 n

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Chapter 3Solving Linear Equations40 n

3.1Vectors and Linear Equations40 n

3.2The Idea of Elimination45 n

3.3EliminatioUsing Matrices52 n

3.4Inverse Matrices58 n

Chapter 1Fundament for MATLAB1 n

1.1MATLAB Desktop1 n

1.2Vectors and Matrices7 n

1.3MATLAB Programming11 n

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Chapter 2Introductioto Vectors and Matrices20 n

2.1Vectors and Linear Combination20 n

2.2Lengths and Dot Products28 n

2.3Matrices31 n

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Chapter 3Solving Linear Equations40 n

3.1Vectors and Linear Equations40 n

3.2The Idea of Elimination45 n

3.3EliminatioUsing Matrices52 n

3.4Inverse Matrices58 n

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Chapter 4Vector Spaces and Subspaces62 n

4.1Spaces of Vectors62 n

4.2The Nullspace of matrix64 n

4.3The Rank and Linear Dependence68 n

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Chapter 5Orthogonality71 n

5.1 Projections71 n

5.2Least Squares Approximations75 n

5.3Orthogonal Bases and Gram-Schmidt Process80 n

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Chapter 6Determinants85 n

6.1 The Properties of Determinants85 n

6.2Permutations and Cofactors92 n

6.3Cramer’s Rule98 n

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Chapter 7Eigenvalues and Eigenvectors102 n

7.1Introductioto Eigenvalues102 n

7.2Similar matrices and diagonalizatioof matrices105 n

7.3Singular Value Decomposition109 n

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Chapter 8Linear Algebra iImage Processing112 n

8.1Digital Image Representation112 n

8.2Geometric Transformatiousing Matrix Operation114 n

8.3Image Restoratiousing Inverse Matrix117 n

8.4Image Fusiousing Principal Component Analysis119 n

8.5Image Compressiousing Singular Value Decomposition120 n

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References122

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