試題詳解

9. Choose the incorrect arguments.
(A) Let A be the Hermitian matrix. Then, matrix A is diagonalizable； that is, A=X^-1DX.
(B) For a square matrix A, the eigenvectors correspond to different eigenvalues are linearly independent.
(C) Two similar matrices have the same characteristic polynomial.
(D) Let A be an mxn real matrix. Then A^TA is diagonalizable.
(E) Let matrix A be diagonalizable. Then, matrix A is not singular.