Question: given that matrix A = [4 0 1;-2 1 0; -2 0 1] is similar to matrix D = [1 0 0; 0 2 0;
given that matrix A = [4 0 1;-2 1 0; -2 0 1] is similar to matrix D = [1 0 0; 0 2 0; 0 03], which statements about the matrices A and D are true? A is diagonalizable D has 3 eigenvalues A is a diagonal matrix A and D have the same characteristic polynomial. there exists an invertible matrix P such that AP = DP A has three distinct eigenvalues. A has three linearly independent eigenvectors
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