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Chapter 9
Linear mappings and transformations
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252
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23 · Main properties of linear mappings and transformations
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24 · Invariant subspaces, eigenvectors, and eigenvalues of linear transformations
Section 23
Main properties of linear mappings and transformations
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104
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Subsection 23.1
Examples of linear mappings and transformations. Kernel, range. Matrices of linear mappings and transformations (23.1-23.51)
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Subsection 23.2
Matrices of linear mappings and transformations in different bases. Similar matrices (23.52-23.77)
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26
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Subsection 23.3
Operations with linear mappings and transformations (23.78-23.104)
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Section 24
Invariant subspaces, eigenvectors, and eigenvalues of linear transformations
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148
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Subsection 24.1
Eigenvectors and eigenvalues (24.1-24.65). Solve problems that do not explicitly mention eigenvectors and eigenvalues as if they were problems on eigenvectors and eigenvalues.
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65
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Subsection 24.2
Invariant subspaces. Permutable transformations (24.66-24.114)
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49
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Subsection 24.3
Jordan form of a matrix (24.115-24.138)
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24
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Subsection 24.4
Other problems (24.139-24.148)
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