試題詳解

2、Continue from Question. Which of the following statements is/are true?
(A) The nonzero rows of R form a basis for col(A^T).
(B) Let C be the reduced row echelon form of R^T. Then C^TC is the identity matrix.
(C) Let E be a 3 × 5 matrix and be the reduced row echelon of E. We can obtain the intersection of the right null space of A and the right null space of E from R and D without knowing A and E.
(D) Let Q be a 5 x 5 matrix and rank(Q) = 3. Then rank(AQ) = 3.
(E) None of the above is true.