Question

5 points
Solve the following equations by Gauss - Seidel Method
15x + y +z = 17,
2x + 15y +z = 18,
x +2y + 15z = 18​

Answer 1

Answer:

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Answer 2

x=1/15(17-y-z)

y=1/15(18-2x_z)

z=1/15(18-x-2y)

1st iteration,

assume y=z=0

x1=1/15(17-0-0)

=1/15(17)

=1.133

y1=1/15(18-2×(1.133)-0

=1/15(18-2.266)

=1/15( 15.734)

=1.049

z1=1/15(18-1.133-2×1.049)

=1/15(18-1.133-2.098)

=1/15(14.769)

=221.535

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