- #1
Hallingrad
- 29
- 0
Hey guys,
I was wondering how you would go about proving that the image of a transformation T, im(T), is invariant? And following that, how would you prove T(W1 [tex]\bigcap[/tex] W2) is invariant if T(W1) and T(W2) are both invariant.
On an unrelated note, another questions asks to show that
TX = X - (P^-1 * X * P) is a linear operation, but no matter what I do, I always come up with it showing that it's in fact not a linear operation. What do you guys think?
Thanks a lot for any help ^_^.
I was wondering how you would go about proving that the image of a transformation T, im(T), is invariant? And following that, how would you prove T(W1 [tex]\bigcap[/tex] W2) is invariant if T(W1) and T(W2) are both invariant.
On an unrelated note, another questions asks to show that
TX = X - (P^-1 * X * P) is a linear operation, but no matter what I do, I always come up with it showing that it's in fact not a linear operation. What do you guys think?
Thanks a lot for any help ^_^.