Solve the following system of non-linear equations using (a Fixed-point iterative method, (b) Gauss-Seidel iterative method and (c) Newton' s method. In each case, start with a guess value of [1, -1,1]7_ Use a tolerance of 0.00001.
81,2 ` + 12 +3121; =6 1 -91,*2 +424; =16 61; + 31213 -4+21=0
Show all calculations for the first three iterations for each method using a calculator and