Concept explainers
Exercises 19–23 concern the polynomial
p(t) = a0 + a1t + … + an−1tn−1 + tn
and an n × n matrix Cp called the companion matrix of p:
Cp =
19. Write the companion matrix Cp for p(t) = 6 − 5t + t2, and then find the characteristic polynomial of Cp.
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Linear Algebra and Its Applications (5th Edition)
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