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Homework Help: Linear Algebra quiz help

  1. Apr 16, 2005 #1
    I just got my quiz back and i bombed it, and my teacher neglected going through it, hoping you guys could help me out with it

    1) Find the canonical basis for the solution space of the homogeneous system, and state the dimension of the space.

    3x1 + x2 + x3 + x4 = 0
    5x1 - x2 + x3 - x4 = 0

    how do i even begin this problem??? I believe I set up the augmented matrix and reduce it to reduced row echelon form or no?
  2. jcsd
  3. Apr 16, 2005 #2


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    Yep. Sweep the matrix.
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