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Homework Help: Linear Algebra Question: Matrix multiplied by a column of its inverse

  1. Feb 20, 2010 #1
    X is a 10x10 matrix

    what is X*[7th column of X's inverse]???

    thanks for any help you can provide!
  2. jcsd
  3. Feb 20, 2010 #2
    I'm sure that I can just make a matrix up then find its inverse and multiply the original by the 7th column of the inverse but is there a general rule for doing this?
  4. Feb 20, 2010 #3
    I also know that a matrix multiplied by its inverse is the identity matrix. would the resultant matrix of the problem above be: in one column [0 0 0 0 0 0 1 0 0 0]
  5. Feb 20, 2010 #4


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    You've got it.
  6. Feb 20, 2010 #5
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