1. linear algebra proof

Suppose that V is a vector space and that S = {u1,…,un} is one basis for V. Prove that the set T = {u1,…,un-1} is a linearly independent set but that it will not span V.

I think it is easy to prove that T is linearly independent, but how to conclude with it will not span V?

2. Originally Posted by gavin1989
Suppose that V is a vector space and that S = {u1,…,un} is one basis for V. Prove that the set T = {u1,…,un-1} is a linearly independent set but that it will not span V.

I think it is easy to prove that T is linearly independent, but how to conclude with it will not span V?