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Matrix Problem

  1. May 22, 2014 #1
    1. The problem statement, all variables and given/known data

    Find two matrices E and F such that:

    EA=
    \begin{bmatrix}
    2 & 1 & 2\\
    0 & 2 & 1\\
    0 & 3 & 0\\
    \end{bmatrix}

    FA=
    \begin{bmatrix}
    0 & 2 & 1\\
    0 & 3 & 0\\
    2 & 7 & 2\\
    \end{bmatrix}

    2. Relevant equations



    3. The attempt at a solution

    So I know how to get the inverse of a 3x3 matrix and AxA-1=I the identity matrix but I'm not sure how I approach this as I don't know what A is. Can anyone point me in the right direction here? Any help is much appreciated.
     
  2. jcsd
  3. May 22, 2014 #2

    verty

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    Homework Helper

    Is there more to this problem? I think there is not enough information, A could be the identity matrix in which case it is trivial. A must be given for this to make any sense.
     
  4. May 22, 2014 #3
    Ok I thought something was wrong with it alright. But to get E normally I'd just say:

    EAA-1=XA-1

    where X is the matrix giving. Is this correct?
     
  5. May 23, 2014 #4

    CAF123

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    Gold Member

    Yes, provided A is in fact invertible.
     
  6. May 23, 2014 #5

    SammyS

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    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    Can you see any set of row operations which will transform matrix EA into matrix FA ?
     
  7. May 24, 2014 #6

    SammyS

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    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    You may want to look at the determinant of EA and FA .
     
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