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Math Help - Basis problem

  1. #1
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    Basis problem

    This problem was confusing me so any help would be greatly appreciated!!

    For the case below, find the dimension of V by using an appropriate method to create a basis:

    a) V = ([5, 2, 1, 0, -1], [3, 0, 1, 1, 0], [0, 0, 0, 0, 0], [-2, 4, -2, -4, -2], [0, 12, -4, -10, -6], [-6, 0, -2, -2, 0]}), a subset of R^5
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  2. #2
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    Quote Originally Posted by buckaroobill View Post
    This problem was confusing me so any help would be greatly appreciated!!

    For the case below, find the dimension of V by using an appropriate method to create a basis:

    a) V = ([5, 2, 1, 0, -1], [3, 0, 1, 1, 0], [0, 0, 0, 0, 0], [-2, 4, -2, -4, -2], [0, 12, -4, -10, -6], [-6, 0, -2, -2, 0]}), a subset of R^5
    Just create a matrix having these vectors in its colloum.
    Then find the Row Space of this matrix by Gaussian Elimination.
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