Question

In this questian w will consider the solutions of the system of linear simultancous equations descrbed by the follawing Hara A is a square matrix (m by and x and b aa colmn vecters ( by 1) For exampla, tha fallowing system of linear simulanous aquations +2 10 can be written in tine form Ax = b, where and h In tha above casa 2. Creata a function that takes as an input a squara matrix A ( and a column vactorb(y For the purpases of this question thera is no need to check the dimensions of aithar A or b. Your function should autput a variablax If the determinant of the matrix A is not equal to zero the output x should an by 1 column vector containing the solutions to the system of equations Axb. For example, if the inputs were ad b- The expected output would be II the determinant is equal to zero and there are inlinitely many solutions to the system of equationis then x, the output variable, should be equal to one. I the delerminant is equal to zero and there are no solutions to the system of equations thenx, the oulput variable, should be aqual to zero. For example, if the system to sohs was givan by 2x2 10 The expected output would bex -1. However, if the system was altered slightly so that x' + 2x2 =10, 415 The cpected output wauld ba x-a The functlon should be called solve_system and should be celled like so: x solvesyste(A b). Your solution should work for all values of m greater than or equal to two, i.e. your code should produce the corrc solutions for 2 by 2 systems, 3 hy 3 systems, 4 hy 4 systams, 5 hy 5 systems, etc I his question is worth marks Hinf You will av to use at least one it statement You mav also choose to use the foaino in-buir MATLAB functions det, rref, sun and in