General solution to linear set of equations Write a runction Get Solution to cal

Question

General solution to linear set of equations Write a runction Get Solution to calculate the general solution Ax=b for a linear set of equations from a ooeficient matrix A and a ooemcent vector b. If the inear system does not have sclution, a logical flag isConsistent should be set to true, and the solution vectors should be empty, else the logical fiag isConsistent should be false. It a solutian exisis, the function GetSolution should calculate a particular solution vector by using the intrinsic funcion mef that implements the Gauss-Jordan algorithm and a homogeneous solution weh the intrinsic function null to obtain a rational basis for the null space. For example farnat rat >[xp, xh, isInconsistent] -GeneralSolver (A, b) 7/3 26/3 1/3 3xe empty double matrix isInconsistent lagical and > xp,xh, isInconsistent] Generalsolver(A,b) isInconsistent lagical and >A-[1,1,9,0:,1,1,0:,e,1,1:1,0,0,1]: b-[1000:1880:700:700] > xp,xh, isInconsistent] Generalsolver(A,b) Type here to search

Explanation / Answer

function [xp, xh, isInConsistent] = GeneralSolver(A, b);
%Check if solution exits using rank method
isInConsistent = rank([A,b]) == rank(A);
isInConsistent = ~isInConsistent;
[m, n] = size(A);
xp = zeros(3,1);
xp = xp(:);

  
if(isInConsistent)
isInConsistent
return
end
xh = null(A,'r')
xp = rref([A,b]);
xp = xp(:,n+1)
end

%Hope this helps :)

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