試題詳解

8. Let matrices A, B, and C be square matrices. Choose the incorrect arguments
(A) The determinant det(AB) = det（A）det（B）
(B) Let matrix A can be decomposed into A=QR, where Q is the orthogonal matrix and R is the upper triangular matrix. The determinant det（A） = det(R).
(C) Let matrix A be diagonalizable； that is, A=X^-1DX. The determinant det（A）=det（D）.
(D) Let matrices A and B are similar. The determinant det（A）=det（B）.
(E) Let matrix B be the Hermitian transpose of matrix A； that is B=A^H. The determinant det（A）=det（B）.