Matrix powers

If I have a matrix A=
k+1_____k-1
k-1_____k+1

What would A^n for whatever value of k or n be? What's the relationship?

I only found something k=1 and 2 so far....(too confusing to type)
 
4,209
1
I'm not sure what you're asking. Can you multiply two square matrices?

A^2 = AA
A^3 = AAA, etc.
 
Oh wait, I think I figured it out for separate k values... now I just need a general k to n relationship :S
 
If k=3, for example:
A= a;b
___c;d


A^n= 2^(n-1)(a^n; b^n
_____________b^n; a^n)

a^n= 3^(n-2)a-2^(n-1)+1
b^n= 3^(n-2)b+2^(n-1)-1
 

malawi_glenn

Science Advisor
Homework Helper
4,783
22
Do not ask for help here with exercises!!! Go to the HW forum!

Read Sticky thread: Do not post homework questions here!

Are you blind? :-p
 
Actually it's not homework
I figured it out anyway...
 

malawi_glenn

Science Advisor
Homework Helper
4,783
22
but we ask for TUTORIALS here, not help with individual questions.
 

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