Java 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.

#### Page content(s):

1. Program & Output: Iterative approach

1. Algorithm

2. Pseudocode

3. Time Complexity

## 1. Java Program for matrix addition

Code has been copied
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import java.util.Scanner;
public static void main(String args[]){
//System.in is a standard input stream
// sc is the object
Scanner sc= new Scanner(System.in);
int m,n,p,q,i,j;

//take input of the order of first matrix
System.out.print("Enter the number of row and column of first matrix=");
m=sc.nextInt();
n=sc.nextInt();

//declare first matrix
int A[][]=new int[m][n];
//take input of the first matrix
System.out.print("Enter the first matrix of order "+m+" x "+n+"=\n");
for(i=0;i<m;i++)
for(j=0;j<n;j++)
A[i][j]=sc.nextInt();

//take input of the order of second matrix
System.out.print("Enter the number of row and column of second matrix=");
p=sc.nextInt();
q=sc.nextInt();

//declare second matrix
int B[][]=new int[p][q];
//take input of the second matrix
System.out.print("Enter the second matrix of order "+p+" x "+q+"=\n");
for(i=0;i<p;i++)
for(j=0;j<q;j++)
B[i][j]=sc.nextInt();

// check if order of matrices are same
// if not then addition of two matrices is not possible
if(m!=p||n!=q)
System.out.print("\nMatrices are of different order, hence addition is not possible");
else{
// and print the resultant matrix
for(i=0;i<m;i++){
for(j=0;j<n;j++)
System.out.print(" "+(A[i][j]+B[i][j]));
System.out.print("\n");
}
}
}
}


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

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