Show that the characteristic polynomial p() = det(A I) for the n n matrix A

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Show that the characteristic polynomial p(λ) = det(A − λI) for the n × n matrix A is an nth-degree polynomial. [Expand det(A−λI) along the first row, and use mathematical induction on n.]

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:56 AM

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Show that the characteristic polynomial p() = det(A I) for the n n matrix A

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Let A be an n n matrix Expanding across the first ...View the full answer

Numerical Analysis

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