Let A be 2x2 and let be the characteristic polynomial of A. Show that and .

I know with a 2x2 matrix that forms the characteristic polynomial; however, I am not sure on how to prove it. I am guessing it is probably trivial if I know that.

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- Apr 21st 2010, 01:49 PMdwsmithCharacteristic Polynomial
Let A be 2x2 and let be the characteristic polynomial of A. Show that and .

I know with a 2x2 matrix that forms the characteristic polynomial; however, I am not sure on how to prove it. I am guessing it is probably trivial if I know that. - Apr 21st 2010, 02:23 PMpickslides
Take a look

Computation of Eigenvalues - Apr 21st 2010, 02:31 PMdwsmith
I know what the website is saying. The problem is in making it coherent and mathematical correct in the proof.

- Apr 21st 2010, 02:40 PMpickslides
Let

Then find the charateristic polynomial

Then find the trace and the deteminant. The rest is up to you (Rofl)