Diagonalize the matrices in Exercises 7–20, if possible.
Chapter 5, Problem 7E(choose chapter or problem)
Diagonalize the matrices in Exercises 7–20, if possible. The eigenvalues for Exercises 11–16 are as follows: (11) \(\lambda=1,2,3\); (12) \(\lambda=2,8\); (13) \(\lambda=5,1\); (14) \(\lambda=5,4\); (15) \(\lambda=3,1\); (16) \(\lambda=2,1\). For Exercise 18, one eigenvalue is \(\lambda=5\) and one eigenvector is (-2, 1, 2).
\(\left[\begin{array}{rr}1 & 0 \\ 6 & -1\end{array}\right]\)
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