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I. Find the values of x1, x2, x3 in the system of Linear Equations 2.x, – 6x2 – x3 = -38 | -3x, – Xz + 7x3 = -34 -8x, + x, – 2x, = -20 Use (a.) Jacobi Iterations (b.) Gauss Seidel

I. Find the values of x1, x2, x3 in the system of Linear Equations 2.x, – 6x2 – x3 = -38 | -3x, – Xz + 7x3 = -34 -8x, + x, – 2x, = -20 Use (a.) Jacobi Iterations (b.) Gauss Seidel

Advanced Engineering Mathematics
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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I. Find the values of x1, x2, x3 in the system of Linear Equations 2x, – 6x, – x3 =-38 -3x, - x2 + 7xz = -34 -8x, + x2 – 2x, = -20 Use (a.) Jacobi Iterations (b.) Gauss Seidel II. Consider the following system of two nonlinear equations: y = -x +x + 0.75 y + 5xy = x² Employ initial guess of x = y = 1.2 using (a.) Jacobi Iterations (b.) Gauss Seidel
Transcribed Image Text:I. Find the values of x1, x2, x3 in the system of Linear Equations 2x, – 6x, – x3 =-38 -3x, - x2 + 7xz = -34 -8x, + x2 – 2x, = -20 Use (a.) Jacobi Iterations (b.) Gauss Seidel II. Consider the following system of two nonlinear equations: y = -x +x + 0.75 y + 5xy = x² Employ initial guess of x = y = 1.2 using (a.) Jacobi Iterations (b.) Gauss Seidel
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