Solved: Verify that A and A = P- 1 AP have the same
Chapter 8, Problem 8.1.136(choose chapter or problem)
Verify that A and \(\hat{\mathbf{A}}=\mathbf{P}^{-1} \mathbf{A} \mathbf{P}\) have the same spectrum. Here, A, P are:
\(\left[\begin{array}{rrr}-22 & 20 & 10 \\ -4 & 20 & -8 \\ 28 & -14 & 29\end{array}\right],\left[\begin{array}{ccc}1 & 0 & 2 \\ 0 & 2 & 4 \\ 2 & 8 & 0\end{array}\right]\)
Text Transcription:
hat{A} = P^{-1} AP
[-22 20 10 \\ -4 20 -8 \\ 28 -14 29], [1 0 2 \\ 0 2 4 \\ 2 8 0]
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