Recent content by bigheadsam

Thank you radou. I think I've already figured out how to prove the problem.

yeah, I know how to prove it. I just has an idea of what does "T is a finite dimensional subspace of L(V)" mean. Does It mean that T is a subset of one kind of operator and this subset must be closed under addition and scalar multiplication. for example, the non-invertible operator is not a...

Yeah, L(V) means the vector space of all linear operators from finite dimensional space V to V.

Hi all, I have some questions about the concept of subspace of linear transformation and its dimension, when I try to prove following problems: Prove T is a finite dimensional subspace of L(V) and U is a finite dimensional subspace of V, then T(U) = {F(u) | F is in T, u is in U} is a...