問題詳情

 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.

參考答案

答案:A,B,C,D
難度:計算中-1
書單:沒有書單,新增