Solve the following system of linear equations by using Gauss Seidal method starting from [x_1 x_2 x_3 ]=[1 0 1]. Perform six iterations and find absolute approximate error with exact solution. Also solve this system by Gauss elimination method with partial pivoting in order to get exact solution.
12x_1+3x_2-5x_3=1
x_1+5x_2+3x_3=28
3x_1+7x_2+13x_3=76