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March 28th, 2017, 03:52 PM  #1 
Member Joined: Nov 2016 From: Kansas Posts: 48 Thanks: 0  Characteristic Polynomial
I have been given the characteristic polynomial p(x)=x(2x)(1x) 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? 
March 28th, 2017, 05:32 PM  #2 
Member Joined: Jan 2016 From: Athens, OH Posts: 32 Thanks: 19 
For any n by n square matrix A, the trace of A is the negative of the coefficient of $x^{n1}$ of the characteristic polynomial. I hope it is now clear how to solve your problem


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