(b)Use Gaussian Elimination to solve:X1 - 2 x2 - X3 + 3x4 = 42x1 + X2 + X3- 4x4 33x1 - X22x3 + 2x4 = 6X1 + 3x2X3 + x4 = 8%3D(c)Determine the four fourth roots of the complex number Z = 3 - 4j, using DeMoivre's theorem and express their values in carlesian form.

Apply gaussian Elimination to the augmented matrix and back substituting.

Answered: (b) Use Gaussian Elimination to solve:…

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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(b) Use Gaussian Elimination to solve: X1 - 2 x2 - X3 + 3x4 = 4 2x1 + X2 + X3- 4x4 3 3x1 - X2 2x3 + 2x4 = 6 X1 + 3x2 X3 + x4 = 8 %3D (c) Determine the four fourth roots of the complex number Z = 3 - 4j, using De Moivre's theorem and express their values in cartesian form.