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
n
Chapter 2Introductioto Vectors and Matrices20 n
2.1Vectors and Linear Combination20 n
2.2Lengths and Dot Products28 n
2.3Matrices31 n
n
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
n
References122