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Math Help - [SOLVED] Vector help

  1. #1
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    [SOLVED] Vector help

    if 3 independent vectors with 4 components are combined like in
    cv + dw + eu then do they span a 3d space within 4d space or do they span all of R^4?
    Last edited by mr fantastic; January 6th 2010 at 09:02 PM. Reason: Edited post title
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  2. #2
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    What's the maximum Rank of the matrix representation?

    On the other hand, maybe I've been away too long.
    Last edited by TKHunny; January 6th 2010 at 05:53 PM.
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  3. #3
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    idk, this is just a random thought- i forgot some of my linear algebra
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  4. #4
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    Time for both of us to upgrade.

    I think you would have a tough time spanning R^4 with three vectors. Try spanning R^2 with one vector.
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  5. #5
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    i'm just looking back at some of my notes and I found a line that says: cv + dw spans a plane if v and w are not perpendicular, is that even correct?
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  6. #6
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    Take your pick to make it correct:

    1) Delete the "not".
    2) Change "perpendicular" to "parallel".

    You need to take better notes.
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  7. #7
    MHF Contributor Drexel28's Avatar
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    Since it seems like you've been away from lin. alg. for a while, I don't think it is unreasonable to ask if you remember what it means for something to span \mathbb{R}^2?
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  8. #8
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    oh boy lol.

    thanks for the help
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