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Lesson 15: Diagonalization

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Matthew Leingang

The document summarizes a lesson on diagonalization of matrices. It defines eigenvalues and eigenvectors, provides an example to illustrate the geometric effect of a non-diagonal linear transformation, and outlines the procedure for diagonalizing a matrix by finding its eigenvalues and eigenvectors and arranging them into diagonal and invertible matrices. It also gives an worked example of diagonalizing a specific 2x2 matrix.

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Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization
Lesson 15: Diagonalization

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