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

http://img213.imageshack.us/img213/7867/problemeigen.png [Broken]

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2. Relevant equations

http://img339.imageshack.us/img339/771/equationh.jpg [Broken]

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3. The attempt at a solution

so i tried doing the problem i gonna use L for lambda

i got the matrix

[1-L, 3]

[K , 4-L]

then i do determinant to get the characteristic polynomial

(1-L)(4-L)-3K=0

L^2-5L+4=3k

K=(L^2-5L+4)/(3)

the other way i did it but im not sure is [(L^2-5L+4)/(K)] -3

i also tried doing this in matlab by doing

k=-100:100

a=[1 3; k 4;]

but that i think would just put a bunch of numbers where k is i think

not really sure how to proceed from here

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# Eigenvalues,charateristic polynomial

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