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Math Help - matrix equation proof

  1. #1
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    matrix equation proof

    BA = CA + C
    solve the equation for B, stating any assumption required.

    not a clue where to start. Missed that lecture!
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  2. #2
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    Quote Originally Posted by Dr Zoidburg View Post
    BA = CA + C
    solve the equation for B, stating any assumption required.

    not a clue where to start. Missed that lecture!
    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 B = C + CA^{-1}. Otherwise, the problem is a whole lot harder, and the solution, if it exists, will not be unique.
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