題組內容

106台聯大_工數A”B

(10%) Define a linear transformationT : R³→ R³by T((1,0,0)) =(0,1,0),T((, 1, 0)) - (0,0,1), and T((0,0, 1)) = (1,0,0).

(b) (5%) Is T : R₃ → R₃ one-to-one and onto? Why or why not?