Just though I’d share a proof which made my happy, and shows how elegant proof by induction can be.

**Prove is true **

**Since is true and the result follows by mathematical induction**

Advertisements

Skip to content
# Matrices + Proof by Induction = magic

##
5 thoughts on “Matrices + Proof by Induction = magic”

### Leave a Reply

Just though I’d share a proof which made my happy, and shows how elegant proof by induction can be.

**Prove is true **

**Since is true and the result follows by mathematical induction**

Advertisements

%d bloggers like this:

You can’t imagine how it’s useful for me!

I’m writing a mathematic portfolio for IBO and I have to prove some terms of matrices in induction. I was searching for it and I found it!

You’re really wonderful!

Thanks for it :)

Ozlem, from Turkey..

:D

I am doing a Mathematical Investigation, also for the IB. I wish this was useful, but it isnt quite! haha so frustrating.

If you want to read a reader’s feedback :) , I rate this post for four from five. Detailed info, but I have to go to that damn msn to find the missed parts. Thanks, anyway!

I’m currently working on a homework problem very similar to this (

prove A^n = [ f_n+1, f_n ]

[ f_n, f_n-1]

where f_n is the nth fibonacci number. I wasn’t sure if I was going about it the right way, but after seeing your proof I’m a lot more confident. Thanks =)