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13: Diagonalization

Last updated

Mar 5, 2021
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- 12.4: Review Problems
- 13.1: Diagonalization

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Given a linear transformation, it is highly desirable to write its matrix with respect to a basis of eigenvectors. Diagonalization is the process of finding a corresponding diagonal matrix for a diagonalizable matrix or linear map. A square matrix that is not diagonalizable is called defective.

13.1: Diagonalization
In a basis of eigenvectors, the matrix of a linear transformation is diagonal
13.2: Change of Basis
13.3: Changing to a Basis of Eigenvectors
If we are changing to a basis of eigenvectors, then there are various simplifications:
13.4: Review Problems

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David Cherney, Tom Denton, and Andrew Waldron (UC Davis)

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