[M] Diagonalize the matrices in Exercises. Use your

Chapter 5, Problem 36E

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[M] Diagonalize the matrices in Exercises 33–36. Use your matrix program’s eigenvalue command to find the eigenvalues, and then compute bases for the eigenspaces as in Section 5.1.

\(\left[\begin{array}{rrrrr}4 & 4 & 2 & 3 & -2 \\ 0 & 1 & -2 & -2 & 2 \\ 6 & 12 & 11 & 2 & -4 \\ 9 & 20 & 10 & 10 & -6 \\ 15 & 28 & 14 & 5 & -3\end{array}\right]\)

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