Let A be any n ( n real matrix. (a) Prove that the coefficient of (n-1 in
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(a) Prove that the coefficient of (n-1 in the characteristic polynomial of A is given by - Tr(A).
(b) Prove that Tr(A) is the sum of the eigenvalues of A.
(c) Prove that the constant coefficient of the characteristic polynomial of A is ± times the product of the eigenvalues of A?
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a The characteristic polynomial of A is Any product in det in A other than the product of the diagon...View the full answer
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Related Book For
Elementary Linear Algebra with Applications
ISBN: 978-0132296540
9th edition
Authors: Bernard Kolman, David Hill
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