Let p(f) a0 a1f a2t2 t3, and let A be a zero of p a Write the companion matrix for p b Explain why 3 a0 a1 a22, and show that (1, , 2) is an eigenvector of the companion matrix for p

Question: Let p(f) = a0 + a1f + a2t2 + t3, and let A be a zero of p. a. Write the companion matrix for p.

Let p(f) = a0 + a1f + a2t2 + t3, and let A be a zero of p.
a. Write the companion matrix for p.
b. Explain why λ3 = - a0 - a1λ - a2λ2, and show that (1, λ, λ2) is an eigenvector of the companion matrix for p.

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