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Quick matrix transpose proof help

  1. Nov 4, 2012 #1
    1. The problem statement, all variables and given/known data

    let transpose of A be noted by A`

    Show that if the matrix product AB is permitted, then so is the product B`A`, where

    B`A`=(AB)`

    2. Relevant equations

    [itex]C_{ij}=ƩA_{ik} B_{kj}[/itex] where summing from k=1 to m

    [itex]A`_{ij} = A_{ji}[/itex]


    3. The attempt at a solution

    It wants me to use the relevant equations to prove this, but I am not sure where to start, seeing as the most I have done with matrices so far is add and multiply them
     
  2. jcsd
  3. Nov 4, 2012 #2

    haruspex

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    What properties of matrices A and B do you think are needed for the multiplication AB to be a permitted operation?
     
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