試題詳解

9. Which of the following staternents is/are true?
(A) Let  x : and  y  be two non-zero vectors in . The matrix is diagonalizable if
≠0.
(B) If A is symmetric and positive definite, then , is positive semi-
definite.
(C) For u,n ∈ such that =, where ⊕ is the
operation of direct sum of two vector spaces.
(D) For the real matrix Q = , where u ∈ , we have det(Q) + rank(Q) = n.

(E) None of the above is true.