RESPONSI WEEK 5 | 29 Sept 20211. Determine the highest real root of2. (a) Use naive Gauss elimination to decompose thefollowing system according to the description inSec. 10.1.2. Then, multiply the resulting [L] and[U] matrices to determine that [A] is produced. (b)Use LU decomposition to solve the system. Showall the steps in the computationf(x) = 2x - 11.7x + 17.7x - 5(a) Graphically.(b) Fixed point iteration method (threeiterations, x, = 3).N(c) Newton-Raphson method (three iterations,Xo = 3).8x1 + 4x2 - x3 = 11-2x1 + 5x2 + X3 = 42x1 - x2 + 6x, = 7

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Determine the highest real root of f(x) = 2r – 11.7x + 17.7x – 5 (a) Graphically. (b) Fixed point iteration method (three iterations, x, = 3).N (c) Newton-Raphson method (three iterations, Xo = 3).