試題詳解

Let A =xy^T, where t and y are two nonzero vectors of Rⁿ, n ＞ 1. Which of the following statements is/are true?
(A) rank( A ) = 1 and the range space of A is Spanf{y}.
(B) rullity( A ) = 2 and the null space of A is Spanfe,{x，y}.
(C) Trace( A ) = 1 and det( A ) =0
(D) A is always diagonalizable.
(E) None of the above.