Let A be an n x n matrix whose characteristic polynomial is p() = n + a1
Question:
p(λ) = λn + a1 λn-1 + .... + an-1 λ + an.
If A is nonsingular, show that
A-1 = - 1/an (An-1 + a1 An-2 + .... + an-2 A + an-1 In)?
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Let A be an n n nonsingular matrix with characteristic polynomial p n a 1 n1 a n1 a n By the Cayley ...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
Question Posted:
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