Proof by induction.

**AshleyT** · June 3rd 2009, 08:34 AM

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

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

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

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

Thanks in advanced for any help given

Edit: oo the latex worked! Score! lol.

**AshleyT** · June 3rd 2009, 08:43 AM

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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