1.Let x and y be nonzero vectors in Rn, n ≥ 2. Suppose x and y are not orthogonal, i.e. xTy ≠ 0. LetA = xyT. Which of the following statements are true?
(A) O is an eigenvalue of A.
(B) xTy is an eigenvalue of A.
(C) x is an eigenvector of A.
(D) The number of linearly independent eigenvectors associated with eigenvalue 0 is n - 1.
(E) A is diagonalizable.