(a) If CD = DC (and D is invertible), show that C is similar to C. (b) Deduce that the

Chapter 5, Problem 5.6.6

(choose chapter or problem)

(a) If CD = DC (and D is invertible), show that C is similar to C. (b) Deduce that the eigenvalues of C must come in plus-minus pairs. (c) Show directly that if Cx = x, then C(Dx) = (Dx).

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