Let p(A) = a + a1 + +1, with companion matrix A = Cnxn, show that...

 

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Let p(A) = a + a1 + +1", with companion matrix A = Cnxn, show that roots of p(x) = 0 are eigenvalues of A. A = An-1 -an-2 a1 -ao 1 1 1 0 Let p(A) = a + a1 + +1", with companion matrix A = Cnxn, show that roots of p(x) = 0 are eigenvalues of A. A = An-1 -an-2 a1 -ao 1 1 1 0