Totaly stuck on this one cant even start to fathom an attempt. first part of the question is show that the eigenvalues of the matrix (2x2 left to right) 4,-1,-4,4 are sigma1=2 and sigma2 =2 and eigenvectors e1= (1,2)T and e2=(1,-2)T done this no problem but am writing this as the second part of the question says(adsbygoogle = window.adsbygoogle || []).push({});

use this result to find the solution to the 2 dimensional linear map

Xn+1 =4Xn -Yn

Yn+1 =-4Xn+4Yn

with X0=1 and y0=1

please help as i have no idea where to even begin. thanks

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# Homework Help: Iterated maps and eigenvalues and vectors

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