the given question is
2x+3y-z=5
x-y+z=1
3x+2y+2z=6
i'm supposed to get the values of x,y,z from this coding.
#include <iostream>
#include <cmath>
using namespace std;
void GetMat (float A[10][11], int numrow, int numcol); // to enter elements in a 2 dimension matrix
void DispMat (float A[10][11], int numrow, int numcol); // to display elements in 2 dimension matrix
void MultRow (float A[10][11], int numrow, int numcol, int row, int ct); //ct*row
void SwapRow (float A[10][11], int numrow, int numcol, int row1, int row2); //to swap positions of 2 rows; row1 <-> row2
void AddMat (float A[10][11], int row1, int row2, float ct); //ct*row1+row2
int main()
{
cout<< "\nApplication of Elementary Row Operations on Matrices"<<endl;
cout<< "\nThe matrix is represented in the form of: "<<endl;
cout<< "\t(0,0)x + (0,1)y + (0,2)z = (0,3), a constant"<<endl;
cout<< "\t(1,0)x + (1,1)y + (1,2)z = (1,3), a constant"<<endl;
cout<< "\t(2,0)x + (2,1)y + (2,2)z = (2,3), a constant"<<endl;
int numrow, numcol, matrix[10][11];
float A[10][11];
cout<<"\nNumber of variables: ";
cin>>numrow;
numcol=numrow+1;
GetMat(A, numrow, numcol);
DispMat(A, numrow, numcol);
SwapRow(A, numcol, numrow, 0, 1);
cout<< "\nAfter applying Elementary Row Operations method:\n"<<endl;
DispMat(A, numrow, numcol);
}
void GetMat(float A[10][11], int numrow, int numcol)
{
for (int i=0; i<numrow; i++)
{
for (int j=0; j<numcol; j++)
{
cout<< "Please enter element in "<<i <<","<<j <<" :";
cin>> A[i][j];
}
}
cout<<endl;
}
void DispMat (float A[10][11], int numrow, int numcol)
{
for (int i=0; i<numrow; i++)
{
for (int j=0; j<numcol; j++)
{
if(j==0)
{
cout<<A[i][j]<<"\t";
}
else if (j==1)
{
cout<<A[i][j]<<"\t";
}
else if(j==2 || j==numrow)
{
if (j==numrow)
{
cout<<" | "<<A[i][j]<<"\t";
}
else
{
cout<<A[i][j]<<"\t";
}
}
else if(j==3 || j==numrow){
if (j==numrow)
{
cout<<" | "<<A[i][j]<<"\t";
}
else{cout<<A[i][j]<<"\t";}
}
else if(j==4 || j==numrow)
{
if (j==numrow)
{
cout<<" | "<<A[i][j]<<"\t";
}
else
{
cout<<A[i][j]<<"\t";
}
}
else if(j==5 || j==numrow)
{if (j==numrow){cout<<" | "<<A[i][j]<<"\t";}
else{cout<<A[i][j]<<"\t";}
}
else if(j==6 || j==numrow){if (j==numrow){cout<<" | "<<A[i][j]<<"\t";}
else{cout<<A[i][j]<<"\t";}
}
else if(j==7 || j==numrow){if (j==numrow){cout<<" | "<<A[i][j]<<"\t";}
else{cout<<A[i][j]<<"\t";}
}
else if(j==8 || j==numrow)
{
if (j==numrow)
{
cout<<" | "<<A[i][j]<<"\t";
}
else
{
cout<<A[i][j]<<"\t";
}
}
else if(j==9 || j==numrow)
{
if (j==numrow)
{
cout<<" | "<<A[i][j]<<"\t";
}
else{cout<<A[i][j]<<"\t";}
}
}
cout<<endl;
}
}
void MultRow(float A[10][11], int numrow, int numcol)
{
float ct;
ct=A[numrow][numrow];
for (int i=0; i<numcol; i++)
{
A[numrow][i]=(1/ct)*A[numrow][i];
}
}
void SwapRow(float A[10][11], int numrow, int numcol, int row1, int row2)
{
for (int i=0; i<numcol; i++)
{
for (int j=0; j<numrow; j++)
{
if (i==j)
{
A[j][i] = 1;
}
else
{
A[j][i] = 0;
}
}
}
}
void AddMat(float A[10][11], int numrow, int numcol)
{
float ct= -A[numrow][numcol];
for(int i=0; i<numcol; i++)
{
A[numrow][i]=((ct*A[numcol][i])+A[numrow][i]);
}
DispMat(A, numrow, numcol);
cout<<endl;
}
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