Let n > 1 be an integer. consider the following two statements for an arbitrary n * n matrix a with complex entriess. fa = , for some integer k 2 1, then all th

Let n > 1 be an integer. Consider the following two statements for an arbitrary n * n matrix A with complex entriesS. fA = , for some integer k 2 1, then all the eigenvalues of A are kth roots of unity. f, for some integer k 21, all the eigenvalue of A are kh roots of unity, then A = . Then