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

Find the eigenvalues and eigenvectors of the matrix

##A=\matrix{{2, 0, -1}\\{0, 2, -1}\\{-1, -1, 3} }##

What are the eigenvalues and eigenvectors of the matrix B = exp(3A) + 5I, where I is

the identity matrix?

2. Relevant equations

3. The attempt at a solution

So i've found the eigenvectors for A to be ##\frac{1}{\sqrt{6}}\vec{1,1,-2}##, ##\frac{1}{\sqrt{3}}\vec{1,1,1}##, ##\frac{1}{\sqrt{2}}\vec{-1,1,0}## with eigenvalues 4,1 one 2 respectively. but i don't know how to do the second part

Many thanks

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# Homework Help: Eigenvectors and eigenvalues

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