Quick matrix transpose proof help

  • #1
bossman007
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Homework Statement



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)`

Homework Equations



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

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

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
 
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  • #2
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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