Question: (a) Show that if A is a matrix such that A4 = I. then the only possible eigenvalues of A are 1. -1, i and

(a) Show that if A is a matrix such that A4 = I. then the only possible eigenvalues of A are 1. -1, i and -i.
(b) Give an example of a real matrix that has all four numbers as eigenvalues.

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