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Non-square matrices

  1. Nov 4, 2007 #1
    I need help proving the following:

    1 A non-square matrix cannot have both a left and a right inverse
    2 If a non-square matrix has a left(right) inverse, it has infinitely many.
    3 If m<n, a non-square matrix has a right inverse if and only if rank A=m
     
  2. jcsd
  3. Nov 4, 2007 #2
    construct a non square matrix and try to find its inverse and see what happens.
     
  4. Nov 4, 2007 #3
    Okay

    Okay, but how does that show point 1 and 3
     
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