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Math Help - Linear Algebra Question

  1. September 19th 2013, 10:46 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. September 20th 2013, 05:14 PM #2
    johng
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    Re: Linear Algebra Question

    Yes.
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« two exercises concerning fields: order of a field | Field Theory - Dummit and Foote Ch 13 - Exercise 1, page519 »

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