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Math Help - Can 4 vectors in R^5 span R^4?

  1. #1
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    Can 4 vectors in R^5 span R^4?

    Hi all,
    If we have 4 linearly independent vectors in R^5, do these vectors span R^4?

    Thank you in advance
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Never. They span a subspace V of \mathbb{R}^5 such that \dim V=4 so, V is isomorphic to \mathbb{R}^4 .
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  3. #3
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    Thank you Fernando that's what I thought
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