How to solve algebraic equations exercise?

Solve the following system of algebraic equations common iteration and Seidel iteration . Find the right solution for 4 decimal places. In either case, fix the number of iterations.

 4x1   +   x2      +  0.2x3  -  0.1ax4   =  2  ,
 -x1   +  (a+3)x2  +   x3    +  (a-1)x4  = -1  ,
 0.5x1 +   x2      - (a+1)x3 +  0.1x4    =  a  ,
 x1    +   0.9 x2  +  0.2x3  -  0.1ax4   =  0.2a .

Here a is serial number on the list.

Answer 1

[John Petersen]

You have written the equations in the form

Ax = b

You can solve for x with

x = A\b;