試題詳解

18. (5%) Which of the following statement is True?
(A) If A is a 3 ✖ 3 matrix, then det 5A=5 det A.
(B) If A³=0 ,then det A =0.
(C) Ifu and v are in R² and det[ u v]=10, then the area of the triangle in the plane with verices a at 0, u, v is 10.
(D) IfA isn xn and det A=2, then det A³=6 .
(E) Any system ofn linear equations in n variables can be solved by Cramer's rule.