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Math Help - Basis and subspace help-exams in few days!!!

  1. #1
    n22
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    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
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    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\}
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  3. #3
    n22
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    Re: Basis and subspace help-exams in few days!!!

    Quote Originally Posted by Idea View Post
    \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..
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    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.

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