# Thread: Another L. tRansformation problem

1. ## Another L. tRansformation problem

can any1 give an example of a distinct linear transsformation T and U such that N(T) = N(U) and R(T) = R(U)

2. Originally Posted by ruprotein
can any1 give an example of a distinct linear transsformation T and U such that N(T) = N(U) and R(T) = R(U)
What does N(T) and R(T) mean?

3. N(T) and R(T) are subspaces of V and W respectively. sorry about that...

4. Originally Posted by ruprotein
N(T) and R(T) are subspaces of V and W respectively. sorry about that...
V and W are?

Maybe you should write the entire problem.

5. vecto spaces... i did

6. Are T and U linear transformations from V to W

is N(T) the null space of T

is R(T) the range of T

?

7. yeah sorry i thoguth the book was universal witht he symbols, yeah thats what R(t) and N(T) STAND For

8. let V,U=R^2

let T:R^2->R^2 be given by

T(v)=A*v

where

A=
[1 0
0 1]

let U:R^2->R^2 be given by

U(v)=B*v

where

B=
[1 1
0 1]