If A is an n n diagonalizable matrix, then D P1 AP, where D is a diagonal matrix. Show
Chapter 8, Problem 37(choose chapter or problem)
If A is ann \(n \times n\) diagonalizable matrix, then \(\mathbf{D}=\mathbf{P}^{-1} \mathbf{A} \mathbf{P}\), where D is a diagonal matrix. Show that if m is a positive integer, then \(\mathbf{A}^{m}=\mathbf{P} \mathbf{D}^{m} \mathbf{P}^{-1}\).
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