Hi, Please help me with this question

Using : Loops, arrays, user-defined function.

Question 1 Solving a system of linear equations: Summary Write a program to solve an N-by-N system of linear equations, where N is a constant given by a "define" directive. Details The importance of solving an N-by-N sysiem of linear equations arises in many areas of engineering and sciences. The system is usually represented in matrix form as Ax- b, where A is an N-by-N matrix and x and b are N-dimensional vectors Solving the system means finding the value of x that satisfies the system. There are many methods that can be used to solve such a system, analytical and numerical. In this exercise, we explain an easy method to solve such system; however, the method we present here assumes that the matrix A is diagonally dominant, ie, the magnitude of the values of the diagonal elements in A are greater than or equal to the sum of the magnitudes of all the other elements belonging to the same row. Mathematically speaking. IA12 1Agkjt i. Here is an example of a diagonally dominant matrix Since 2 and 3-2, this matrix is diagonally dominant. Here is an example ofa matrix that is not diagonally dominant Although 2>1 in the first row; however, since there is one row in which the diagonal element is less than the sum of the other elements (21+2 (first row), 10 4+5 (second row), and 20:15+3 (third row) Given that the matrix A is diagonally dominant, the iterative method we explain here can be used to solve this system. However, if A is not diagonally dominant, the method may fail to converge to a solution. In case you would like to learn more about diagonally dominant matrices, please continue reading here: httpslen wikipedia org/wiki Diagonally dominant matrix An Iterative Method for Solving Ax = b Let us describe the iterative method for solving a system of linear equations by means of a 2-by-2 system example. and bPlease verify that A is diagonally Let us suppose that A dominant). This results in the following system of equations