This C++ program displays the Gauss Jordan method of computing inverse of a matrix. Gauss Jordan method proceeds with row by row reduction of matrix to unit matrix column-wise.

Here is the source code of the C++ program to display the augmented matrix along with the inverse of the matrix taken as input. This C++ program is successfully compiled and run on DevCpp, a C++ compiler. The program output is given below.

`/*`

`* C++ Program to Find Inverse of a Graph Matrix`

`*/`

`#include<iostream>`

`#include<conio.h>`

`#include<stdio.h>`

using namespace std;

int main()

`{`

int i, j, k, n;

float a[10][10] = {0},d;

cout<<"Enter the order of matrix ";

cin>>n;

cout<<"Enter the elements\n";

for (i = 1; i <= n; i++)

`{`

for (j = 1; j <= n; j++)

`{`

cin>>a[i][j];

`}`

`}`

for (i = 1; i <= n; i++)

`{`

for (j = 1; j <= 2 * n; j++)

`{`

if (j == (i + n))

`{`

a[i][j] = 1;

`}`

`}`

`}`

for (i = n; i > 1; i--)

`{`

if (a[i-1][1] < a[i][1])

`{`

for(j = 1; j <= n * 2; j++)

`{`

d = a[i][j];

a[i][j] = a[i-1][j];

a[i-1][j] = d;

`}`

`}`

`}`

cout<<"Augmented Matrix: "<<endl;

for (i = 1; i <= n; i++)

`{`

for (j = 1; j <= n * 2; j++)

`{`

cout<<a[i][j]<<" ";

`}`

cout<<endl;

`}`

for (i = 1; i <= n; i++)

`{`

for (j = 1; j <= n * 2; j++)

`{`

if (j != i)

`{`

d = a[j][i] / a[i][i];

for (k = 1; k <= n * 2; k++)

`{`

a[j][k] = a[j][k] - (a[i][k] * d);

`}`

`}`

`}`

`}`

for (i = 1; i <= n; i++)

`{`

d=a[i][i];

for (j = 1; j <= n * 2; j++)

`{`

a[i][j] = a[i][j] / d;

`}`

`}`

cout<<"Inverse Matrix "<<endl;

for (i = 1; i <= n; i++)

`{`

for (j = n + 1; j <= n * 2; j++)

`{`

cout<<a[i][j]<<" ";

`}`

cout<<endl;

`}`

getch();

`}`

Output Enter the order of matrix 3 Enter the elements 4 2 7 5 1 8 9 4 7 Augmented Matrix: 9 4 7 0 0 1 4 2 7 1 0 0 5 1 8 0 1 0 Inverse Matrix -0.490196 0.27451 0.176471 0.72549 -0.686274 0.0588236 0.215686 0.0392157 -0.117647

**Sanfoundry Global Education & Learning Series – 1000 C++ Programs.**

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