{v1, v2, ... , vn} is a basis for V. L1 and L2 are two linear transformations mapping V into a vectorspace W.?

Question

Prove:

for each i = 1, 2, ... n

than L1(vi) = L2(vi)

only if L1 = L2

I can this of the concept in my head and I think I understand it but I am having trouble actually putting the proof on paper. Any help is appreciated.

Thanks

Answer 1

Favorite Answer

I have posted a full solution to your question at one of the math help forums I collaborate with, so that I may give you an easy to read explanation using LaTeX:

http://www.mathhelpboards.com/f52/cameron-v-s-ques...

Hope this helps