This document appears to be MATLAB code that performs Gaussian elimination on a matrix D to solve a system of linear equations. The code: 1) Inputs a matrix Z and creates an identity matrix B of the same size to form the augmented matrix D; 2) Performs Gaussian elimination on D by pivoting rows if needed and eliminating entries below the diagonal; 3) Back-substitutes to solve for the vector x; and 4) Displays the output matrix D and solution vector x after running Gaussian elimination.

1. disp('imputkZn mZtriks n x n ');
Z=input('Z= ');
B=eye(size(Z))
D=[Z,B]
[m,n]= size(D);
for j=1:m-1
for z=2:m
if D(j,j)==0
t=D(j,:);D(j,:)=D(z,:);
D(z,:)=t;
end
end
for i=j+1:m
D(i,:)=D(i,:)-D(j,:)*(D(i,j)/D(j,j));
end
end
x=zeros (1,m);
for s=m:-1:1
c=0;
for k=2:m
c=c+D(s,k)*x(k);
end
x(s)=(D(s,n)-c)/D(s,s);
end
disp('gZuss eliminZtion:');
D
x'