Help me with solving the following system of linear equations by using Gauss-Seidel method:x1−8x2+3x3=−9x1−5x2−6x3=2x1−3x2+7x3=−5Where x1(0)=0.2,x{(0)}2=0.6,x{(0)}3=0.4, use one loop?

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jorgegalar0xk · Accepted Answer

The gauss-seidel method is used for finding the iteration of x1,x2,x3 in the first equation isolate the variable x1 and in the second equation isolate the variable x2 and in the third equation isolate the variable x3 and in the first iteration substitute x1=0.2,x2=0.6,x3=0.4 and in the second iteration substitute the first iteration values of x1,x2,x3.similarly proceeding the same way to find the values of x1,x2,x3  To find x1 in the first equation write the variables x2 and x3 on the right-hand side and also change the signs and divide it by the coefficients of x1. and for x2 in the second equation write the variables x1 and x3 on the right-hand side and also change the signs and divide it by the coefficients of x2. and for x3 in the third equation write the variables x1 and x2 on the right-hand side and also change the signs and divide it by the coefficients of x3  x1−8x2+3x3=−9  x1−5x2−6x3=2  x1−3x2+7x3=−5  x1=−9+8x2−3x3  −5x2=2+6x3−x1  x2=x1−6x3−25  7x3=−5+3x2−x1  x3=−x1+3x2−57  To find the first iteration substitute x1=0.2,x2=0.6,x3=0.4 in the equations x1=−9+8x2−3x3,x2=x1−6x3−25 and x3=−x1+3x2−57  x1=−9+8(0.6)−3(0.4)  x1=−5.4  x2=0.2−6(0.4)−25  x2=−0.84

Help me with solving the following system of linear equations

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