Asked by Sower
(1) Define T:R->R be a linear transformation such that T(x,y,z)= (2x,2y,2z) then the given value of T is
A. 3
B. 2
C. 4
D. 6
(A) (B) (C) (D)
(2) Let V and W be vector spaces over a field F, and let T:V-> W be a linear transformation then only one of the following statement is correct
(A) V=R(T)
(B) Ker T/V=R(T)
(C)V/KerT=R(T)
(D) R(T)=DIM(T)
(A) (B) (C) (D)
A. 3
B. 2
C. 4
D. 6
(A) (B) (C) (D)
(2) Let V and W be vector spaces over a field F, and let T:V-> W be a linear transformation then only one of the following statement is correct
(A) V=R(T)
(B) Ker T/V=R(T)
(C)V/KerT=R(T)
(D) R(T)=DIM(T)
(A) (B) (C) (D)