Write a program to solve equations Quick BASIC language to solve equations in a way Jacoby can use the following paper

7.3 The Jacobi and Gauss-Seidel Iterative Methods The Jacobi Method Two assumptions made on Jacobi Method. l. The system given by X1 a 12 2 in 21 1 22- 2 2n b2 a an 1- 1 a X2 annxn bn Has a unique solution. 2. The coefficient matrix A has no zeros on its main diagonal, namely, a 11, a22, ...,ann are nonzeros. Main idea of Jacobi To begin, solve the 1" equation for x1, the 2nd equation for x2 and so on to obtain the rewritten equations 12 2 a 13-13 in 11 21 1 23-13 2n 22 xn (bn an 1x1 an 2x2-... man-1xn-1) ann Then make an initial guess of the solution (0) (0) (0) (0) (0) Substitute these values into the right hand side the of x 3 P (1) (1) v(1) v(1) the rewritten equations to obtain the first approximation. This accomplishes one iteration In the same way, the second approximation (2) (2) (2) (2) is computed by substituting the first approximation's x x 2 vales into the right hand side of the rewritten equations. (k) v(k) (k) (k) (k) By repeated iterations, we form a sequence of approximations x k 1,2,3