Question

Show and explain how to solve cramer’s rule using Matlab.

Answer 1

Let us consider the following equations

x+2y+3z=14

2x+3y+5z=23

5x+3y+6z=14

MATLAB CODE-----

clc;
clear all;
close all;

a=[1 2 3;2 3 5;5 3 6];
b=[14;23;14];

x=ones(3,1);
a_determinant=det(a); %FOR FINDING DETERMINANT

%SO FOR FINDING THE ELEMENT AT X AT INDEX I.
%IT IS GIVEN BY RATIO OF TWO DETERMINANTS.

for i=1:3
c=a;
c(:,i)=b;
x(i,1)=det(c)/a_determinant;
end

disp('APPLYING CRAMERS RULE RESULT IS');

disp('x,y,z=');

disp(x);