試題詳解

11. (5%) Please pick the statements below that are true.
(A) If A and B are m x n matrices and C is an n X p matrix, then (A + B)C = AC + BC.
(B) For any matrices A and B, if A is the inverse of B^T, then A is the transpose of B-I.
(C) An n x n matrix is invertible if and only if its rows are linearly independent.
(D) The codomain of any function is contained in its range.
(E) for every standard vector e；, then f(v) mg(v) for every v in Rⁿ.