(a) For which numbers c and d does A have real eigenvalues and orthogonal eigenvectors?

Chapter 5, Problem 5.28

(choose chapter or problem)

(a) For which numbers c and d does A have real eigenvalues and orthogonal eigenvectors? A = 1 2 0 2 d c 0 5 3 . (b) For which c and d can we find three orthonormal vectors that are combinations of the columns (dont do it!)?

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