(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A is a 2x2 matrix with eigenvectors 1,-1 and 1,1 with respective eigenvalues 2 and 3. x is 2,0. Find (A^4)x

2. Relevant equations

I know (A^k)v=(lamda^k)v

But I just don't know how to solve this to find A and then multiple it by x

3. The attempt at a solution

See above

Thanks a lot for anyone's help or input!

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# Homework Help: A linear algebra problem.

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