Consider the following program:

What system of equations is being solved by this method? What method is used for the solution? Will this program converge to a solution? To save you time, we have already determined that the condition number is 2.6473. You should be as specific as possible in your answer using your knowledge of both linear algebra and this type of numerical method.

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1 function problem2_76 2 A = [2,3,1;-2, 3,2; 1, 2,5]; 3 b = [1; 4; 2]; 4 x = [0; 0;0]; 5 6 7 8 9 10 12 13 15 16 17 18 19 20 21 22 23 err = norm (A*x -b); k = 0; while err > 1e-6; k = k+1; x(1) = (b (1) (b (2) x (3) = (b (3) x (2) = err = norm (A*x-b); if k > 100 end end if err == 0 else end err = 0; x = 0; - A(1, 2) *x (2) A(2, 1) *x (1) A(3,1) *x (1) A(1,3)*x (3))/A(1,1); A(2,3) *x (3))/A (2, 2); - A(3,2) *x (2))/A (3, 3); fprintf('Did not converge.\n') fprintf('Value after %3d steps: \n',k) fprintf(x1= 88.6f \t x2 $8.6f \t x3 = %8.6f \n.',x(1),x (2),x(3)) ...