BA = CA + C

solve the equation for B, stating any assumption required.

not a clue where to start. Missed that lecture! (Doh)

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- May 6th 2008, 06:34 AMDr Zoidburgmatrix equation proof
BA = CA + C

solve the equation for B, stating any assumption required.

not a clue where to start. Missed that lecture! (Doh) - May 6th 2008, 06:59 AMOpalg
If you're allowed to make the assumption that A is invertible, then just multiply both sides of the given equation on the right by the inverse of A, to get $\displaystyle B = C + CA^{-1}$. Otherwise, the problem is a whole lot harder, and the solution, if it exists, will not be unique.