a. Show that if A is an n n matrix, then where i , .

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a. Show that if A is an n × n matrix, then  where λi , . . . , λn are the eigenvalues of A.

b. Show that A is singular if and only if λ = 0 is an eigenvalue of A.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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