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Math Help - Proof by induction.

  1. #1
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    Proof by induction.

    Firstly, sorry if this is the wrong section...and also sorry for my crap latex skills!

    Prove by induction that
    <br />
M^n = \left(\begin{array}{cc}2^n&3(2^n - 1)\\0&1\end{array}\right)<br />

    Okey so i did
    <br />
M^n . M<br />
    Where M is
    <br />
M^n = \left(\begin{array}{cc}2&3\\0&1\end{array}\right)<br />

    Now i get the
    <br />
2^(n+1) <br />
    bit required for the induction, but how to i get
    <br />
3.3(2^n - 1) + 3(2^n - 1)<br />
    into the required form?

    Thanks in advanced for any help given
    Edit: oo the latex worked! Score! lol.
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  2. #2
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    Never mind!
    After a few days of wtf...i realized i was multiplying the matrix out wrong...what a froob...
    Thanks anyway =)
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