Let A be a general n n matrix. Determine the exact number of arithmetic operations needed

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Let A be a general n × n matrix. Determine the exact number of arithmetic operations needed to compute A-1 using
(a) Gaussian Elimination to factor P A = LU and then Forward and Back Substitution to solve the n linear systems (1.63);
(b) The Gauss-Jordan method. Make sure your totals do not count adding or subtracting a known 0, or multiplying or dividing by a known ± 1.
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Related Book For  book-img-for-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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