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Math Help - basis of solution space

  1. #1
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    basis of solution space

    how do i go about getting the basis, and dimension, of the solution space of Ax=0, where A =
    [1 0 2 -1
    0 1 3 -1
    2 0 5 -3]?
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  2. #2
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    Quote Originally Posted by greg27 View Post
    how do i go about getting the basis, and dimension, of the solution space of Ax=0, where A =
    [1 0 2 -1
    0 1 3 -1
    2 0 5 -3]?
    1)Bring it into Row Reduced Echelon Form.
    2)Sovle for the "leading 1's".
    3)Those solutions in #2 form the solution space.
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