**C++ program to add two matrices** has been shown here. Two matrices $[A]_{m \times n}$ and $[B]_{p \times q}$ are considered for addition if the number of rows and columns are same in both of the matrices i.e. $m = p$ and $n = q$.

Algorithm, pseudocode and time complexity of the program have also been shown.

## 1. C++ Program for matrix addition

/*************************************** alphabetacoder.com C++ Program for Matrix Addition ***************************************/ #include <iostream> using namespace std; int main(){ // declare variables int m,n,p,q,i,j; int A[10][10]={0},B[10][10]={0}; //take input of the order of first matrix cout<<"Enter the number of row and column of first matrix="; cin>>m; cin>>n; //take input of the first matrix cout<<"Enter the first matrix of order "<<m<<" x "<<n<<" =\n"; for(i=0;i<m;i++) for(j=0;j<n;j++) cin>>A[i][j]; //take input of the order of second matrix cout<<"Enter the number of row and column of second matrix="; cin>>p; cin>>q; //take input of the second matrix cout<<"Enter the second matrix of order "<<p<<" x "<<q<<" =\n"; for(i=0;i<p;i++) for(j=0;j<q;j++) cin>>B[i][j]; // check if order of matrices are same // if not then addition of two matrices is not possible if(m!=p||n!=q) cout<<"\nMatrices are of different order,hence addition is not possible"; else{ //add each corresponding elements // and print the resultant matrix cout<<"The resultant matrix after addition:\n"; for(i=0;i<m;i++){ for(j=0;j<n;j++) cout<<A[i][j]+B[i][j]; cout<<"\n"; } } return 0; }

Output

**Case 1:**

Enter the number of row and column of first matrix=3 3

Enter the first matrix of order 3 x 3=

3 5 7

4 5 9

0 1 1

Enter the number of row and column of second matrix=2 3

Enter the second matrix of order 2 x 3=

9 4 5

3 7 8

1 2 3

The resultant matrix after addition:=

12 9 12

7 12 17

1 3 4

**Case 2:**

Enter the number of row and column of first matrix=3 3

Enter the first matrix of order 3 x 3=

3 5 7

4 5 9

0 1 1

Enter the number of row and column of second matrix=2 3

Enter the second matrix of order 2 x 3=

9 4 5

3 7 8

Matrices are of different order,hence addition is not possible

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