Using MATLAB solve the following equation first using matrix

Using MATLAB, solve the following equation, first using matrix arithmetic, then using Cramer\'s Rule.

2tan(x)+6cos(y)+ln(z)=6

4tan(x)-3cos(y)-5ln(z)=-5

6tan(x)+9cos(y)+2ln(z)=11

Solution

Code:

% Solve a set of simultaneous equations using matrix arithmetic
clc;
clear all;
A = [2 6 1;4 -3 -5;6 9 2];
B = [6;-5;11];
C = A\\B;
x = 180*atan(C(1))/pi();
y = 180*acos(C(2))/pi();
z = exp(C(3));
disp(\'Solution using Matrix Arithmetic:\');
disp(x);
disp(y);
disp(z);
%% Solve a set of simultaneous equations using Cramer Rule
a = det(A);
a1 =[6 6 1;-5 -3 -5;11 9 2];
a2 =[2 6 1;4 -5 -5;6 11 2];
a3 =[2 6 6;4 -3 -5;6 9 11];
x1 =det(a1)/a;
x2 =det(a2)/a;
x3 =det(a3)/a;
xx = 180*atan(x1)/pi();
yy = 180*acos(x2)/pi();
zz = exp(x3);
disp(\'Solution using Cramer Rule:\');
disp(xx);
disp(yy);
disp(zz);

Solution :

Solution using Matrix Arithmetic:
26.5651

48.1897

2.7183

Solution using Cramer Rule:
26.5651

48.1897

2.7183