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Elementary Matrix Question!

  1. Feb 22, 2010 #1
    I have a question about elementary matrices,
    I have matrix A, and I just found A-1, and then the question wants me to write A-1 as a product of elementary matrices.
    Ok, thats easy, but now the question wants me to write A as a product of elementary matrices, how do I go about doing this?
    Would it be the same as writing A-1 as a product of elementary matrices but backwards?
    Last edited: Feb 22, 2010
  2. jcsd
  3. Feb 22, 2010 #2
    lol does that question make sense? or should I describe it better?
  4. Feb 22, 2010 #3
    If A-1=E3E2E1, then A equals the inverse of that; that is A=(E3E2E1)-1=E1-1E2-1E3-1.
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