Another L. tRansformation problem

• Mar 25th 2007, 01:59 PM
ruprotein
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)
• Mar 25th 2007, 02:02 PM
ThePerfectHacker
Quote:

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?
• Mar 25th 2007, 02:06 PM
ruprotein
N(T) and R(T) are subspaces of V and W respectively. sorry about that...
• Mar 25th 2007, 06:29 PM
frenzy
Quote:

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.
• Mar 26th 2007, 11:11 AM
ruprotein
vecto spaces... i did
• Mar 26th 2007, 11:46 AM
frenzy
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

?
• Mar 26th 2007, 01:58 PM
ruprotein
yeah sorry i thoguth the book was universal witht he symbols, yeah thats what R(t) and N(T) STAND For
• Mar 26th 2007, 03:50 PM
frenzy
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]