det(4A)=4det(A)
举一反三
- det(AB)=det(A)det(B
- 设\(A\)为一个4阶方阵,\(\det A = \frac{1}{2},\)那么\(\det 2A = \) A: 1 B: 2 C: 8 D: 16
- 设A是4阶方阵，若detA= -1，则det(2A) =
- 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)
- 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.