Question: . Let A be a 3 X 3 matrix. Assume 1 and 2 are the only eigenvalues of A. Determine whether the following statements are

. Let A be a 3 X 3 matrix. Assume 1 and 2 are the only eigenvalues of A. Determine whether the following statements are always true. If true, justify why. If not true, provide a counterexample. Statement A: If v1 is an eigenvector of A COrresponding to 1 and V2 is an eigenvector corresponding to 2, then A(v1 + v2) = 3(v1 + v2) Statement B: One of the eigenspaoes of A is twodimensional, and the other is one- dimensional

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