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)

## Answer this Question

## Related Questions

- Linear Algebra - a)Let v be a fixed vector in R^3. Show that the transformation ...
- Linear Alebra - Show that the transformation T:R^2->R^2 given T(x1,x2)=(3x1-...
- Algebra - Determine if the relationship represented in the table is linear. If ...
- Math - Show that the transformation T:R^2->R^2 given T(x1,x2)=(3x1-5x2,x1+2x2...
- Linear Algebra - Consider the linear transformation T: R^3->R^3 which acts by...
- Linear Algebra 2 - Let V and W be vector spaces over a field and let T:V->W ...
- Linear Algebra - Suppose T: R^2->R^2 is a linear transformation with T(1,2)=(...
- Math: Linear Algebra - Let T1: P1 -> P2 be the linear transformation defined ...
- linear algebra - Let L: R2 R2 be a linear transformation for which we know ...
- Algebra - For which table(s) of values in Exercises 3942 is the relationship ...