Solving linear equation using Iterative methods and analysis of the spectral radius of the Matrix.

Objective: Problem: Co-efficient Matrix- `A= [ [ 5,1,2 ],[-3,9,4],[1,2,-7] ]` The R.H.S- `b = [[10],[-14],[33]]` Solution Matrix- `X= [[x_1],[x_2],[x_3]]` The above system of linear equations are solved using the iterative methods which are: 1. Gauss- Jacobi 2. Gauss-Siedel 3. Successive over-relaxation(SOR) method After this,…