試題詳解

14. (10%) Suppose that s, t, and u are vectors in G" such that s is orthogonal to u and u is orthogonal to t. Then
(A) For any orthogonal n x n matrix G, we have that Gs is orthogonal to u
(B) For any orthogonal n x n matrix G, we have that Gu is orthogonal to both s and t
(C)s is orthogonal to t
(D) s + t is orthogonal to u
(E) None of the preceding statements are true [cos(t)