This C++ program displays the value of the determinant of a particular matrix. A determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific arithmetic expression, while other ways to determine its value exist as well.

Here is the source code of the C++ program to display the determinant of matrices upto order 10. This C++ program is successfully compiled and run on DevCpp, a C++ compiler. The program output is given below.

`/*`

`* C++ Program to Find the Determinant of a Given Matrix`

`*/`

`#include<iostream>`

`#include<math.h>`

`#include<conio.h>`

using namespace std;

double d = 0;

double det(int n, double mat[10][10])

`{`

int c, subi, i, j, subj;

double submat[10][10];

if (n == 2)

`{`

return( (mat[0][0] * mat[1][1]) - (mat[1][0] * mat[0][1]));

`}`

`else`

`{`

for(c = 0; c < n; c++)

`{`

subi = 0;

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

`{`

subj = 0;

for(j = 0; j < n; j++)

`{`

if (j == c)

`{`

continue;

`}`

submat[subi][subj] = mat[i][j];

subj++;

`}`

subi++;

`}`

d = d + (pow(-1 ,c) * mat[0][c] * det(n - 1 ,submat));

`}`

`}`

return d;

`}`

int main()

`{`

int n;

cout<<"enter the order of matrix" ;

cin>>n;

double mat[10][10];

int i, j;

cout<<"enter the elements"<<endl;

for(i=0;i<n;i++)

`{`

for(j=0;j<n;j++)

`{`

cin>>mat[i][j];

`}`

`}`

cout<<"\ndeterminant"<<det(n,mat);

getch();

`}`

Output enter the order of matrix 3 enter the elements 3 6 2 8 6 5 9 1 6 determinant -17

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