試題詳解

18. (5%) Which of the following statement is True?
(A) IF A is a 3 x 3 matrix, then det 5A=5 det A.
(B) If A³=0, then det A =0.
(C) If u 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) IF A is n x n and det A=2, then det A³=6
(E) Any system of n linear equations in n variables can be solved by Cramer's rule.