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Hello students.
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Today we will discuss about this question.
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In this question we need to use the goss sidel method with x raised to 0 that is equals to 0000000 raise to transpose to approximate the solution to the given linear system with an error tolerance of es that is equals to 0 .02 in the maximum magnitude from mode of x to influence.
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And ensure the convergence before starting to iterate.
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And here we need to show the coding.
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So first of all, we are given minus x1 minus x2 plus 5x3 plus x4 is equal to 0, 4x1 plus x2 minus x3 plus x4 is equal to 0, 4x1 plus x2 minus x3 plus x4 is equals to minus 2, x1 plus x4, 4 x2 minus x3 minus x4 is equal to minus 1 x1 minus x2 plus x3 plus 3 x4 that is equals to 1 so here first of all we can write the first one that is clc clear all then percentage percentage minus x1 minus x2 plus 5 x3 plus x4 is equal to 0 percentage percentage 4x1 plus x2 minus x3 plus x4 is equal is equals to minus 2 percentage percentage x1 plus 4x2 minus x3 minus x4 is equals to minus 1.
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Percentage percentage x1 minus x2 plus x3 plus 3x4 that is equals to 1.
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Now, then we can write a that is equals to minus 1, minus 1, 5, comma, 4 minus 1, minus 1, 3.
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1, 1, 3.
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So that is equals n, b, that is equals 0, minus 2, comma, minus 1, 1, 1.
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Errol tolerance, tol, that is equals to e minus 3.
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Percentage initial gas, that is, percentage, x0, that is equals to 0s of 1 .1, 4 .1, x0, that is equals to 0 ,000 ,000...