(All Steps) Let A=[cc-15 28 , -8 15]. Find all eigenvalues of A and compute an eigenvector for each one. Find an invertible matrix P and a diagonal matrix
Question: Let \(A=\left[\begin{array}{cc}-15 & 28 \\ -8 & 15\end{array}\right]\).
- Find all eigenvalues of \(A\) and compute an eigenvector for each one.
- Find an invertible matrix \(P\) and a diagonal matrix \(D\) such that \(A=P^{-1} D P\)
- Compute \({{A}^{37}}\) .
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