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Thread: Linear Algebra Question

  1. Sep 19th 2013, 09:46 PM #1
    jeremy5561
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    Linear Algebra Question

    Find an example:
    Four vectors in R^3 (Euclidean Space) Such that no vector is a nontrivial linear combination of the other 3.

    This has me stumped. Since there are more vectors than n, wouldn't that mean at least 1 of the vectors are linearly dependent and thus a nontrivial combination of the other 3?
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  2. Sep 20th 2013, 04:14 PM #2
    johng
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    Re: Linear Algebra Question

    Yes.
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