問題詳情

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 theupper 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=AH. The determinant det(A)=det(B).

參考答案

答案:[無官方正解]
難度:計算中-1
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