1) Explain why 2 x 2 rotation matrices cannot be diagonalized (using real matrices). Your answer should demonstrate an understanding of the concepts involved in diagonalization, and should include the definitions of eigenvalues and vectors.

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Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
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1) Explain why 2 x 2 rotation matrices cannot be diagonalized (using real
matrices). Your answer should demonstrate an understanding of the concepts
involved in diagonalization, and should include the definitions of eigenvalues
and vectors.
Transcribed Image Text:1) Explain why 2 x 2 rotation matrices cannot be diagonalized (using real matrices). Your answer should demonstrate an understanding of the concepts involved in diagonalization, and should include the definitions of eigenvalues and vectors.
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