(a) Show that the companion matrix C( p) of p(x) x3 ax2 bx c has characteristic
Chapter 4, Problem 4.3.29(choose chapter or problem)
(a) Show that the companion matrix C( p) of p(x) x3 ax2 bx c has characteristic polynomial (l3 al2 bl c). (b) Show that if l is an eigenvalue of the companion matrix C( p) in part (a), then is an eigenvector of C( p) corresponding to l. l2 l 1
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