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(Solved): Use Gauss-Seidel iterative technique to find approximate solutions to \[ \begin{array}{c} -x_{1}+11 ...
Use Gauss-Seidel iterative technique to find approximate solutions to \[ \begin{array}{c} -x_{1}+11 x_{2}-x_{3}+3 x_{4}=25 \\ 10 x_{1}-x_{2}+2 x_{3}=12 \\ 3 x_{2}-x_{3}+8 x_{4}=15 \\ 2 x_{1}-x_{2}+10 x_{3}-x_{4}=-11 \end{array} \] start with initial guesses of \( \mathrm{x}=(1,1,1,1) \) and iterate 4 times for each \( \mathrm{x} \) value.
Expert Answer
Solution : Let for simplicity x1=x,x2=y,x3=z,x4=w Now given total equation are 4 3w?x+11y?z=25 0w+10x?y+2z=12 0w+10x?y+2z=12 10x?y+2z=12 8w+0x+3y?z=15