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

let x^{2}+ x + 1 be the characteristic polynomial of matrix B

find B^{5}using Cayley-Hamilton's Theorem

2. Relevant equations

3. The attempt at a solution

from what i have learn, cayley hamilton theorem is something like this

B^{2}+ B + I =0

B(B+I)=I

so, B^{-1}= (B+1)

how can i apply this to make B^{5}? help me please owho

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# Homework Help: Proving a Linear System

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