Posted by **Sower** on Sunday, December 26, 2010 at 5:27am.

(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)

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