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.

Please give a full explanation.

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

Re: Basis and subspace help-exams in few days!!!

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

Re: Basis and subspace help-exams in few days!!!

Quote:

Originally Posted by

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

can someone explain fully...please..

Re: Basis and subspace help-exams in few days!!!

Why don't you show us what you've got? We are not a homework service.

-Dan