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Homework Help: Basis of a null space

  1. Apr 13, 2008 #1
    [SOLVED] basis of a null space

    1. The problem statement, all variables and given/known data

    Find a basis of the null space N(A)[tex]\subset[/tex]R^5 of the matrix

    A=
    1 -2 2 3 -1
    -3 6 -1 1 -7
    2 -4 5 8 -4

    [tex]\in[/tex]M3x5(R)

    and hence determine its dimension

    2. Relevant equations



    3. The attempt at a solution

    So do i need to find the x that satisfies Ax=0 and that x is the null space? Then how do i find a basis of this null space?
     
  2. jcsd
  3. Apr 13, 2008 #2

    Hurkyl

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    Gold Member

    Why do you think x is unique?

    No, the null space is the space of all solutions to the equation.
     
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