(a) Use nave Gauss elimination to decompose the following system according to the description in Sec. 10.2....
Question:
(a)
Use naïve Gauss elimination to decompose the following system according to the description in Sec. 10.2.
10x1 + 2x2 – x3 = 27
–3x1 – 6x2 + 2x3 = –21.5
x1 + x2 + 5x3 = – 21.5
Then, multiply the resulting [L] and [U] matrices to determine that [A] is produced.
(b) Use LU decomposition to solve the system. Show all the steps in the computation.
(c) Also solve the system for an alternative right-side vector: {B}T = [12 18 -6].
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a The coefficient a 21 is eliminated by multiplying row 1 by f 21 310 03 and subtracting the ...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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