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Matrix condition number question

  1. Oct 28, 2009 #1

    I've been studying condition numbers for matrices. I found a past exam question that asks if the notion of condition numbers can be used for non-square matrices.

    Intuitively I thought it couldn't because cond(A) = ||A||.||A^-1|| and non-square matrices have no inverse. But matlab will calculate it?

    Why do condition numbers exist for non-square matricies and do they have any meaning at all?

  2. jcsd
  3. Nov 2, 2009 #2


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    Least squares analysis involves non-square matrices and condition number is a meaure of rank deficiency.
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