Question: 55. If A is any *k* *k* matrix such that A = A* +1 for some positive integer *n*, show that tr (A) =

55. If A is any *k* × *k* matrix such that A = A*+1 for some positive integer *n*, show that tr (A) = tr (A²) = tr (A³) = … = tr (A*+1).

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