Question: Concern the polynomial and an n n matrix C p called the companion matrix of p: Let p(t) = 2t - 3t 2 +

Concern the polynomialp(t)= ao + at +...+ an-1t"-1 +t"and an n × n matrix Cp called the companion matrix of p:image


Let p(t) = 2t - 3t2 + t3. Write the companion matrix for p(t) and use techniques to find its characteristic polynomial and its eigenvalues.

p(t)= ao + at +...+ an-1t"-1 +t"

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