The document contains C++ code examples for performing common matrix operations using 2D arrays, including summing and subtracting matrices, finding the transpose of a matrix, multiplying 2x2 matrices, and calculating the inverse of a 2x2 matrix. It prompts the user for matrix inputs, performs the selected operation on the matrices, and outputs the results.

1. C++ : ARRAY WITH EXAMPLES
SUMMATION OF TWO MATRIXES
#include <iostream>
using namespace std;
int main()
{
int m,n,c,d, first[10][10], second[10][10], sum[10][10];
cout << "Enter the number of rows and columns of matrix" << endl;
cin >> m>> n;
cout << "Enter the elements of first matrix n";
for( c=0; c<m ; c++)
for(d=0; d<n ; d++)
cin >> first [c][d];
cout << "Enter the elements of second matrix n";
for(c=0; c<m; c++)
for(d=0; d<n; d++)
cin >> second[c][d];
for (c=0;c<m;c++)
for(d=0;d<n;d++)
sum[c][d]= first[c][d] + second[c][d];

2. cout << "The summation of entered matrixes :- n";
for(c=0; c<m; c++)
{
for(d=0; d<n; d++)
cout << sum[c][d] << "t";
cout << endl;
}
return 0;
}
//Output :
Enter the number of rows and columns of matrix
3 3
Enter the elements of first matrix
1 2 3
4 5 6
7 8 9
Enter the elements of second matrix
1 2 3
4 5 6
7 8 9
The summation of entered matrixes :-
2 4 6
8 10 12
14 16 18

3. DIFFERENCE OF TWO MATRIXES
#include <iostream>
using namespace std;
int main()
{
int m,n,c,d, first[10][10], second[10][10], sum[10][10];
cout << "Enter the number of rows and columns of matrix" << endl;
cin >> m>> n;
cout << "Enter the elements of first matrix n";
for( c=0; c<m ; c++)
for(d=0; d<n ; d++)
cin >> first [c][d];
cout << "Enter the elements of second matrix n";
for(c=0; c<m; c++)
for(d=0; d<n; d++)
cin >> second[c][d];
for (c=0;c<m;c++)
for(d=0;d<n;d++)
sum[c][d]= first[c][d] - second[c][d];
cout << "The summation of entered matrixes :- n";
for(c=0; c<m; c++)
{

4. for(d=0; d<n; d++)
cout << sum[c][d] << "t";
cout << endl;
}
return 0;
}
//Output:
Enter the number of rows and columns of matrix
3 3
Enter the elements of first matrix
7 8 9
4 5 6
1 2 3
Enter the elements of second matrix
1 2 3
4 5 6
7 8 9
The summation of entered matrixes :-
6 6 6
0 0 0
-6 -6 -6

5. TRANSPOSE OF A MATRIX
#include <iostream>
using namespace std;
int main()
{
int c,d, matrix[3][3],transpose_matrix[3][3];
cout <<"Enter the elements of 3x3 matrix n";
for( c=0; c<3 ; c++)
for(d=0; d<3 ; d++)
cin >> matrix [c][d];
for (c=0;c<3;c++)
for(d=0;d<3;d++)
transpose_matrix[c][d]= matrix[d][c];
cout << "The transpose of the given 3x3 matrix :- n";
for(c=0; c<3; c++)
{
for(d=0; d<3; d++)
cout << transpose_matrix[c][d] << "t";
cout << endl;
}
return 0;
}

6. //Output:
Enter the elements of 3x3 matrix
1 2 3
4 5 6
7 8 9
The transpose of the given 3x3 matrix :-
1 4 7
2 5 8
3 6 9
// Alternative way to find transpose of a matrix:
#include <iostream>
using namespace std;
int main()
{
int m,n,c,d, matrix[10][10],transpose_matrix[10][10];
cout << "Enter the number of rows and columns of matrix" << endl;
cin >> m>> n;
cout << "Enter the elements of matrix n";
for( c=0; c<m ; c++)
for(d=0; d<n ; d++)
cin >> matrix [c][d];
for (c=0;c<m;c++)
for(d=0;d<n;d++)

7. transpose_matrix[c][d]= matrix[d][c];
cout << "The transpose of the entered matrixes :- n";
for(c=0; c<m; c++)
{
for(d=0; d<n; d++)
cout << transpose_matrix[c][d] << "t";
cout << endl;
}
return 0;
}
// Output:
Enter the number of rows and columns of matrix
5 5
Enter the elements of matrix
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
The transpose of the entered matrixes :-
1 6 11 16 21
2 7 12 17 22
3 8 13 18 23
4 9 14 19 24
5 10 15 20 25

8. MULTIPLICATION OF TWO MATRIXES (2X2 DIMENSION ONLY)
#include <iostream>
using namespace std;
int main()
{
int m,n,c,d, first[2][2], second[2][2], mult[2][2];
cout << "Enter the number of rows and columns of matrix" << endl;
cin >> m>> n;
cout << "Enter the elements of first matrix n";
for( c=0; c<m ; c++)
for(d=0; d<n ; d++)
cin >> first [c][d];
cout << "Enter the elements of second matrix n";
for(c=0; c<m; c++)
for(d=0; d<n; d++)
cin >> second[c][d];
for (c=0;c<m;c++)
for(d=0;d<n;d++)
mult[c][d]= first[c][0] * second[0][d] + first[c][1] * second[1][d];
cout << "Multiplication of entered matrixes :- n";

9. for(c=0; c<m; c++)
{
for(d=0; d<n; d++)
cout << mult[c][d] << "t";
cout << endl;
}
return 0;
}
//Output :
Enter the number of rows and columns of matrix
2 2
Enter the elements of first matrix
1 2
3 4
Enter the elements of second matrix
1 2
3 4
Multiplication of entered matrixes :-
7 10
15 22

10. INVERSE OF A MATRIX (2x2 DIMENSION ONLY)
#include <iostream>
using namespace std;
int main()
{
int c,d, determinant, matrix[2][2], inv[2][2];
cout << "Enter the elements of 2x2 matrix n";
for( c=0; c<2 ; c++)
for(d=0; d<2 ; d++)
cin >> matrix [c][d];
determinant= matrix[0][0] * matrix[1][1] - matrix[0][1]*matrix[1][0];
for (c=0; c<2; c++)
for(d=0; d<2; d++)
{ if ( c==0 && d==0)
inv[c][d]= matrix[1][1];
else if (c==1 && d==1)
inv[c][d]= matrix[0][0];
else
inv[c][d]= - matrix[c][d];
}

11. cout << "Inverse of entered matrixes :- n";
for(c=0; c<2; c++)
{
for(d=0; d<2; d++)
cout << (float) inv[c][d]/determinant << "t";
cout << endl;
}
return 0;
}
//Output:
Enter the elements of 2x2 matrix
1 2
3 4
Inverse of entered matrixes :-
-2 1
1.5 -0.5