(a) Show that the companion matrix C(p) of p (x) = x3 + ax2 + bx +...

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(a) Show that the companion matrix C(p) of p (x) = x3 + ax2 + bx + c has characteristic polynomial - (λ3 + aλ2 + bλ + c).
(b) Show that if A is an eigenvalue of the companion
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