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Thread: Linearly Dependent

  1. Mar 24th 2010, 03:38 PM #1
    rudisillct
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    Linearly Dependent

    I am having trouble justifying the following:

    Explain why the column vectors of a 3 x 4 matrix form a linearly dependent set (assuming all matrix entries are distinct)

    Any help would be appreciated,

    Thanks
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  2. Mar 24th 2010, 04:44 PM #2
    math2009
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    If~A\in R^{3\times 4}\rightarrow rank(A)\leq 3\rightarrow There are at most three independent vectors in columns, so there must be dependent of 4 columns
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