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//Example 7.1
//Gauss-Jordan Two Array Method
//Page no. 254
clc;clear;close;
A=[2,6,1;3,9,2;0,-1,3]; //matrix
C=eye(3,3); //Unit Matrix
for i=1:3 //interchange of row 1 and 2
B(1,i)=A(1,i);
A(1,i)=A(2,i);
A(2,i)=B(1,i);
B(2,i)=C(1,i);
C(1,i)=C(2,i);
C(2,i)=B(2,i);
end
printf('\n')
//printing of matrices A and C
for i=1:3
for j=1:3
printf('%f\t',A(i,j))
end
printf('|\t');
for j=1:3
printf('%f\t',C(i,j))
end
printf('\n')
end
printf('\n\n');
for i=1:3
A(1,i)=A(1,i)/3;
C(1,i)=C(1,i)/3;
end
//printing of matrices A and C
for i=1:3
for j=1:3
printf('%f\t',A(i,j))
end
printf('|\t');
for j=1:3
printf('%f\t',C(i,j))
end
printf('\n')
end
printf('\n\n');
for i=1:3
A(2,i)=A(2,i)-2*A(1,i);
C(2,i)=C(2,i)-2*C(1,i);
end
//printing of matrices A and C
for i=1:3
for j=1:3
printf('%f\t',A(i,j))
end
printf('|\t');
for j=1:3
printf('%f\t',C(i,j))
end
printf('\n')
end
printf('\n\n');
for i=1:3 //interchange of row 2 and 3
B(1,i)=A(2,i);
A(2,i)=A(3,i);
A(3,i)=B(1,i);
B(2,i)=C(2,i);
C(2,i)=C(3,i);
C(3,i)=B(2,i);
end
//printing of matrices A and C
for i=1:3
for j=1:3
printf('%f\t',A(i,j))
end
printf('|\t');
for j=1:3
printf('%f\t',C(i,j))
end
printf('\n')
end
printf('\n\n');
for i=1:3
A(2,i)=-1*A(2,i);
C(2,i)=-1*C(2,i);
end
for i=1:3
A(1,i)=A(1,i)-3*A(2,i);
C(1,i)=C(1,i)-3*C(2,i);
end
//printing of matrices A and C
for i=1:3
for j=1:3
printf('%f\t',A(i,j))
end
printf('|\t');
for j=1:3
printf('%f\t',C(i,j))
end
printf('\n')
end
printf('\n\n');
for i=1:3
A(3,i)=-3*A(3,i);
C(3,i)=-3*C(3,i);
end
//printing of matrices A and C
for i=1:3
for j=1:3
printf('%f\t',A(i,j))
end
printf('|\t');
for j=1:3
printf('%f\t',C(i,j))
end
printf('\n')
end
printf('\n\n');
for i=1:3
A(1,i)=A(1,i)-A(3,i)*(29/3);
C(1,i)=C(1,i)-29*C(3,i)/3;
end
for i=1:3
A(2,i)=A(2,i)+A(3,i)*3;
C(2,i)=C(2,i)+C(3,i)*3;
end
//printing of matrices A and C
for i=1:3
for j=1:3
printf('%f\t',A(i,j))
end
printf('|\t');
for j=1:3
printf('%f\t',C(i,j))
end
printf('\n')
end
printf('\n\n');
disp(C,'Inverse Matrix of A')
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