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

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- March 25th 2007, 02:59 PMruproteinAnother 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)

- March 25th 2007, 03:02 PMThePerfectHacker
- March 25th 2007, 03:06 PMruprotein
N(T) and R(T) are subspaces of V and W respectively. sorry about that...

- March 25th 2007, 07:29 PMfrenzy
- March 26th 2007, 12:11 PMruprotein
vecto spaces... i did

- March 26th 2007, 12:46 PMfrenzy
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

? - March 26th 2007, 02:58 PMruprotein
yeah sorry i thoguth the book was universal witht he symbols, yeah thats what R(t) and N(T) STAND For

- March 26th 2007, 04:50 PMfrenzy
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]