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Exercise 8.3.4

Avg difficulty 3.0

Let $T$ be the linear transformation that reflects vectors about the line $x=y$ . Find a matrix of $T$ and then find eigenvalues and eigenvectors.

Selinger, Matrix Theory and Linear Algebra, Eigenvalues, eigenvectors, and diagonalization, Geometric interpretation of eigenvectors, Exercise 8.3.4

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Adapted from Matrix Theory and Linear Algebra © 2017–2026 Peter Selinger, Lyryx Learning, and Ken Kuttler. Licensed under CC BY 4.0. Source: Matrix Theory and Linear Algebra. Imported at revision d74bc3a.