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March 28th, 2017, 03:52 PM   #1
Joined: Nov 2016
From: Kansas

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Characteristic Polynomial

I have been given the characteristic polynomial p(x)=x(2-x)(1-x) of Matrix A.
I have been given two diagonal entries of A that are -3 and 5. I am now supposed to calculate the remaining diagonal entries. How to do this?
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March 28th, 2017, 05:32 PM   #2
Joined: Jan 2016
From: Athens, OH

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For any n by n square matrix A, the trace of A is the negative of the coefficient of $x^{n-1}$ of the characteristic polynomial. I hope it is now clear how to solve your problem
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