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Homework Help: Linear Algebra Problem

  1. Feb 20, 2008 #1
    The problem is prove that for every square singular matrix A there is a nonzero square matrix B, such that AB equals the zero matrix.

    I got AB to equal the identity matrix, but not the zero matrix.
     
  2. jcsd
  3. Feb 20, 2008 #2
    Yeah, that would be bad, because that would imply that A is nonsingular. Anyway, think about what singularity implies for the columns of A.
     
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