1) Let A E MAR) such that A is diagonalizable and det(A) = 0. For A e R, denote BAA) = {e R" | A13\": M}. We know that EA(A) 7e {6} if and only of A is an eigenvalue of A. Suppose that A has exactly two distinct eigenvalues, A1 and A2, where both A1, A2 E R and | A1 |