(a) Show that the companion matrix C(p) of p(x) = x2 + ax + b has characteristic...

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(a) Show that the companion matrix C(p) of p(x) = x2 + ax + b has characteristic polynomial λ2 + aλ + b.
(b) Show that if A is an eigenvalue of the companion matrix C(p) in part (a), then
(a) Show that the companion matrix C(p) of p(x) =

is an eigenvector of C(p) corresponding to λ.

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