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Numerically solving the null vector

  1. May 12, 2009 #1
    i have a 1000 by 1000 matrix A

    A is definitely singular

    I want to solve the null vector numerically

    How to do this?

    matlab does not work!
     
  2. jcsd
  3. May 12, 2009 #2

    jbunniii

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    Can you clarify what you mean by "solve the null vector"? Do you mean that you want to find a vector [tex]x \neq 0[/tex] such that [tex]Ax = 0[/tex]? i.e., to find a nonzero element of the null space?
     
  4. May 12, 2009 #3
    yes!
     
  5. May 12, 2009 #4

    jbunniii

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    If you want to use Matlab to do it, look up the "null" command:

    Z = null(A);

    returns an orthonormal basis for the null space of A.
     
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