?Similar Matrices(a) Use the definition for similar matrices (i.e, B ~ A if and only if
Chapter 5, Problem 40(choose chapter or problem)
Similar Matrices
(a) Use the definition for similar matrices (i.e, B ~ A if and only if B = P-1 AP for some invertible matrix P) to show that similar matrices have the same characteristic polynomials and eigenvalues.
(b) Show, using \(2 \times 2\) matrices as examples, that the eigenvectors may be different for similar matrices.
Equation Transcription:
Text Transcription:
2 times 2
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