試題詳解

 Which of the following is true?
(A) Every function from , T : , has a standard matrix A such that
T(x) = Ax for all x ∈ .
(B) The matrix transformation induced by an m X n matrix A (i.e., ) is a linear
transformation.
(C) The image of the zero vector under any linear transformation is the zero vector.
(D) A function T : is uniquely determined by the images of the standard vectors
in its domain.

(E) If f is a linear transformation and f(u) = f(v), then u = v.