Let A be an n ( n matrix. (a) Show that ((t) = det(t In - A)

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Let A be an n ( n matrix.
(a) Show that ((t) = det(t In - A) is a polynomial in t of degree n.
(b) What is the coefficient of tn in ( (t)?
(c) What is the constant term in ((t)?

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Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

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Question Posted: Jun 21, 2016 07:02 AM

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Let A be an n ( n matrix. (a) Show that ((t) = det(t In - A)

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a From Definition 32 each term in the expansion of the determinant of an n n matrix is a pro...View the full answer

Elementary Linear Algebra with Applications

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