Consider the matrix A [10000 2] 0 1 0 0 20 00 1 200 0021 00 0 2 0 0 1 0 20000 1 2.a You are told that A = -1 and A = 3 are eigenvalues of A. Find their geometric multiplicities. Does A have any other eigenvalues? 2.b Find an orthogonal matrix Q and a diagonal matrix D such that A = QDQ™. 2.c Find A6e₁.

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A: Solution