Q3. Find approximate solution of the following system of linear equations 76x + 5y + 24z = 19 22x + 91y+44z = 97 -13x + 2y + 58z = -1.4 a) by using Simple Iteration Method for 5 steps. b) by using Jacobi Method for 5 steps. c) by using Gauss-Seidel Method for 5 steps. (Take initial approximation as xo = 0.19, yo = 0.97, zo = 0.14).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 15EQ
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Q3. Find approximate solution of the following system of linear equations
76x + 5y + 24z = 19
22x + 91y + 44z = 97
-13x + 2y + 58z = -1.4
a) by using Simple Iteration Method for 5 steps.
b) by using Jacobi Method for 5 steps.
c) by using Gauss-Seidel Method for 5 steps.
(Take initial approximation as Xo = 0.19, yo 0.97, zo = 0.14).
Transcribed Image Text:Q3. Find approximate solution of the following system of linear equations 76x + 5y + 24z = 19 22x + 91y + 44z = 97 -13x + 2y + 58z = -1.4 a) by using Simple Iteration Method for 5 steps. b) by using Jacobi Method for 5 steps. c) by using Gauss-Seidel Method for 5 steps. (Take initial approximation as Xo = 0.19, yo 0.97, zo = 0.14).
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