試題詳解

12. (5%) Let A be an n by n matrix. Which of the following statement is NOT identical to others?
(A) Ax = 0 has a nontrivial solution
(B) The rank of A is less than n
(C) The dimension of A's null space is positive
(D) A is not diagonalizable
(E) The singular values of A are not all positive 乙L