Find the eigenvalues and eigenvectors of the general real symmetric 2 x 2 matrix A= a b(adsbygoogle = window.adsbygoogle || []).push({});

b c

The two eigenvalues that I got are a-b and c-b. I got these values from this:

(a-eigenvalue)(c-eigenvalue)-b^2=0

(a-eigenvalue)(c-eigenvalue) = b^2

(a-eigenvalue)= b = a-b

(c-eigenvalue)= b = c-b

Will there be 4 eigen values instead of the two that I have? Like, a-b and a+b and c-b and c+b?

I haven't gotten to the eigenvectors yet. I'll post what I have in a minute.

Thanks for your help

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# Homework Help: Are my eigenvalues right?

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