Quote:
Originally Posted by omert How do I find the T(1,0,0), T(0,1,0) and T(0,0,1) vectors in terms of only T(1,0,1)??? |
You have to express (1,0,0), and the other two basis vectors, as linear combinations of (1,0,1), (2,1,2) and (0,1,1). If for example you know that (1,0,0) = –(1,0,1) + (2,1,2) – (0,1,1) then (since T is a linear transformation) T(1,0,0) = –T(1,0,1) + T(2,1,2) – T(0,1,1) = –v+v–v = –v.