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

Come up with a 2 x 2 matrix with 2 and 1 as the eigenvalues. All the entries must be positive.

Then, find a 3 x 3 matrix with 1, 2, 3 as eigenvalues.

3. The attempt at a solution

I found the characteristic equation for the 2x2 would be λ^{2}- 3λ + 2 = 0. But then I couldn't get a matrix with positive entries to work for that.

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# Linear Algebra - Matrix with given eigenvalues

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