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The nullspace of a transposed matrix

  1. Jan 24, 2012 #1
    Let says I have a matrix A with m rows and n columns, with m<n, from which I compute the null space. If the rank of A is smaller than m, then the null space of the transpose of A also exists. Is there any relation between the null space of a matrix and the null space of the transposed matrix? Can I find null(transpose(A)) from null(A) or I have to compute the nullspace again?
  2. jcsd
  3. Jan 25, 2012 #2


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    Hey Patlam81 and welcome to the forums.

    Are there are other constraints on your matrix or are you talking about a general system?
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