S. a) Explain the method of Jacobi for solving a set of linear simultaneous equations Ax = b and state the condition for its convergence. b) We solve by the Jacobi scheme the following equations, starting from an initial guess xfo) = xo) = xgo) = x?) = 0, and using a machine with a 10digit mantissa 100x1x2x3x4=91 , x,+100x2x3x4=192 After 4 iterations the following solution was obtained x.(4) = 0.99997162 (4) = 1.9999804 (4) = 2.99998039 x(4) = 3.99998038 Perform two more iterations, and based on a II . II .. (i) Show that the results are correct to almost 8 significant digits. (ii) Explain why the results will converge to the exact solution, neglecting rounding