試題詳解

27. Let L(x) = Ax represent a linear transformation from R² to R², where:
A =
What kind of geometry operation is L?
(A) L is the linear operator that rotates each x in R² by 45° in the clockwise direction
(B) L is the linear operator that reflects each vector x in R² about the x₁ axis and then rotates it 90° in the counterclockwise direction
(C) L doubles the length of x and then rotates it 30° in the counterclockwise direction
(D) L reflects each vector x about the line x₂ = x₁ and then projects it onto the x₁-axis

(E) L rotates x 270° in the counterclockwise direction