设矩阵A为n阶方阵，将其第t列的k倍加到第s列，得到矩阵B，则下面哪个选项是正确的？
A: det(B)=det(A)
B: det(B)=-det(A)
C: det(B)=det(-A)
D: det(-B)=det(A)
A: det(B)=det(A)
B: det(B)=-det(A)
C: det(B)=det(-A)
D: det(-B)=det(A)
举一反三
- det(AB)=det(A)det(B
- Let A be a n×n matrix, then ( ) A: AAT =ATA. B: det(AAT ) = det(AT A). C: if det(A) = 0, then A is invertible. D: if det(A) = 0, then AT is invertible.
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