問題詳情

2.Let R2x2 denote the collection of all real 2 x 2 matrices and P denote the collection of all real polynomials. Which two of the following functions are linear operators? T1:R→R,T1(x)=2x-3 
T2:R2X2→R,T2( A )=det( A ) 
T3: R2X2 → R2X2, T3( A ) = AT - A 
T4:P→P,T4(f(x))=f'(x)+f(0)x for any polynomial f(x)
(A) T1,T2
(B) T1,T3
(C) T2,T3
(D) T2,T4
(E) T3,T4