det(A)与R(A
举一反三
- det(AB)=det(A)det(B
- 3、若实方阵 A 满足( )时,则存在唯一单位下三角阵 L 和上三角阵 R ,使 A = LR 。 A: det A ¹ 0 B: 某个det Ak ¹ 0 C: det Ak ¹ 0 (k = 1,Ln -1) D: det Ak ¹ 0 (k = 1,L, n)
- 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.
- det(a,b,c)=1, 则行列式det(2a+3b+5c, b, 5c) 等于