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Thread: Vectiorial subspaces

  1. #1
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    Vectiorial subspaces

    Vectiorial subspaces-screenshot_6.png

    Can someone provide me the steps to prove that those 3 are vectorial subspaces? I usually know what to do for R3 but in R4 I really have no clue .
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  2. #2
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    Re: Vectiorial subspaces

    (A) and (c) are subspace. For (b), pick any element and multiply it by a negative scalar. Is it still in the set?
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  3. #3
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    Re: Vectiorial subspaces

    Quote Originally Posted by SlipEternal View Post
    (A) and (c) are subspace. For (b), pick any element and multiply it by a negative scalar. Is it still in the set?
    How can $(0,0,0,0)$ belong to (c)?
    SEE HERE
    Last edited by Plato; Oct 18th 2018 at 08:30 PM.
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  4. #4
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    Re: Vectiorial subspaces

    Quote Originally Posted by Plato View Post
    How can $(0,0,0,0)$ belong to (c)?
    SEE HERE
    Oops, good point! My mistake.
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