Use LU decomposition to determine the matrix inverse for the following system. Do not use a pivoting
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Use LU decomposition to determine the matrix inverse for the following system. Do not use a pivoting strategy, and check your results by verifying that [A] [A]-1 = [I].
10x1 + 2x2 – x3 = 27
–3x1 – 6x2 + 2x3 = – 61.5
x1 + x2 + 5x3 = – 21.5
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First we compute the LU decomposition The coefficient a 21 is eliminated by multiplying row 1 by f 2...View the full answer
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Related Book For
Numerical Methods For Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
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