# Basis and subspace help-exams in few days!!!

• June 15th 2013, 10:22 PM
n22
Basis and subspace help-exams in few days!!!
Dear Smart people,

I desparately need someones help with this. I have only a few days til my exam.
Please dont give me a hint.

Suppose that {u1, u2, u3} is a basis for a vector space V , and that W is a subspace of V .
Is it always true that some subset of {u1, u2, u3} is a basis for W? Explain..

Thankyyou
• June 15th 2013, 10:42 PM
Idea
Re: Basis and subspace help-exams in few days!!!
$\text{No}. \{\{1,0\},\{0,1\}\} \text{is} a \text{basis} \text{for} R^2\text{Let} W \text{be} \text{the} \text{subspace} \text{generated} \text{by} \{1,1\}$
• June 15th 2013, 11:47 PM
n22
Re: Basis and subspace help-exams in few days!!!
Quote:

Originally Posted by Idea
$\text{No}. \{\{1,0\},\{0,1\}\} \text{is} a \text{basis} \text{for} R^2\text{Let} W \text{be} \text{the} \text{subspace} \text{generated} \text{by} \{1,1\}$