how can i find minimal polynomial or greatest common divisor for this matrix ,, HELP

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hello i want fast answer , for how to find minpoly for this matrix [L-1 0;0 L-1] the answer is L-1 ,, hint . i have found the characteristic polynomial for this matrix , and if i can find the greatest common divisor for this matrix i can obtain the minpoly
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John D'Errico
John D'Errico on 28 Dec 2014
Edited: John D'Errico on 29 Dec 2014
Your need for a fast answer is irrelevant. Everyone who posts here wants a fast answer. It merely says that you need to manage your time better in the future. Anyway, expecting a fast answer when you post a question at a time when many people who might have answered will not even be near a computer, this is a good way to be ignored.
I'll give you a hint though. You want to compute the gcd, though I see you said that yourself.

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