試題詳解

複選題
12. (5%) Please pick the statements below that are true.
(A) A function is onto if its range equals its domain.
(B) A linear transformation is one-to-one if and only if every vector in its range is the image of a unique vector in its domain.
(C) For any m X n matrices A and B and any scalars c and d, (CA + dB)^T = cA^T + dB^T.
(D) No scaling operations are required in the forward pass of Gaussian elimination.
(E) If A and B are invertible n X n matrices, then A + B is invertible.