Exercises 19–23 concern the polynomialp( t ) = a0 + a1t +
Chapter , Problem 20E(choose chapter or problem)
Problem 20E
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:
Let p (t ) = 2 + t3.
Write the companion matrix for p(t), and use techniques from Chapter 3 to find its characteristic polynomial.
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