Orthogonally diagonalize the matrices in Exercises 13-22, giving an orthogonal matrix P and a diagonal matrix D. To save you time, the eigenvalues in Exercises 17-22 are: (17) −4, 4, 7; (18) −3, −6, 9; (19) −2, 7; (20) −3, 15; (21) 1, 5, 9; (22) 3, 5.
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