Let A be a 2×2 matrix. If tr(A) = 8 and det(A) = 12,the eigenvalues of A is .
举一反三
- 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.
- Let A and B be two n × n matrices, they have thesame eigenvalues and n linear independent eigenvalues, then ( ). 未知类型：{'options': ['A is similar to B.', 'A [img=14x23]17de9331bc2f299.png[/img] B, but |A − B| = 0.', 'A = B.', 'A is not necessarily similar to B, but det(A)=det(B).'], 'type': 102}
- 下面哪两个是等价的（ ）。 A: matrix(c(2, 4, 6, 8, 10, 12), nrow = 1, ncol = 6) B: matrix(c(2, 4, 6, 8, 10, 12), nrow = 6, ncol = 1) C: rep(2:12, times = 1) D: seq(2, 16, by = 2)
- Let A be a 4 by 3 matrix, and r(A)=2, and B is an invertible matrix, then r(AB)=______
- 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