 # Java Program to add two matrix

Here we are explaining how to write a java program to find out the sum of the two matrices. So first we have to read the elements of matrix A, B then we will find out the sum of matrix A and B into the matrix sum.

## How to declare a matrix in java?

A multi-dimensional array is called a matrix. The syntax of declaring a two-dimensional array is shown below.

`Data_type[1st dimension][2nd Dimension]array_name=new Data_type[Size1][Size2];`

An example is shown below:

`int[][] A=new;`

Here the matrix A is created with a size of 10 X 10.

## How to implement the java program to find out the sum of two matrices?

First, we have to declare the class AddMatrix.Then open the main function. Create an object of the scanner class as in. Read the number of rows and columns into the variables m and n. Then Initialize three matrices of size m and n. Then by using a for loop read the elements of the matrix A.Then read the elements of the matrix B.After that calculate the sum matrix as sum[i][j]=A[i][j]+B[i][j]  using nested for loop.Then display each element of matrix sum .as the sum matrix.

## ALGORITHM

STEP 1: Declare the class AddMatrix with a public modifier.

STEP 2: Open the main() to start the program, Java program execution starts with the main()

STEP 3: Declare the integer variable m,n,i,j.

STEP 4: Read the number of rows and columns of the matrix into the variables m and n.

STEP 5: Initialize the matrix A[][],B[][] and sum[][] as integer.

STEP 6: Read the elements of the matrix A into the A[i][j] using for loop.

STEP 7: Read the elements of the matrix into the B[i][j] using for loop.

STEP 8: By using a nested for loop calculate the sum matrix as sum[i][j]=A[i][j]+B[i][j].

STEP 9: Display the sum matrix as sum[i][j] using nested for loop.

## Java Source Code

```                                          ```import java.util.Scanner;
public static void main(String args[])
{
int m, n, i, j;
Scanner in = new Scanner(System.in);

System.out.println("Input number of rows of matrix: ");
m = in.nextInt();
System.out.println("Input number of columns of matrix: ");
n  = in.nextInt();

int A[][] = new int[m][n];
int B[][] = new int[m][n];
int sum[][] = new int[m][n];

System.out.println("Input elements of first matrix: ");

for (  i = 0 ; i < m ; i++ )
for ( j = 0 ; j < n ; j++ )
A[i][j] = in.nextInt();

System.out.println("Input the elements of second matrix: ");

for ( i = 0 ; i < m ; i++ )
for ( j = 0 ; j < n ; j++ )
B[i][j] = in.nextInt();

for ( i = 0 ; i < m ; i++ )
for ( j = 0 ; j < n ; j++ )
sum[i][j] = A[i][j] + B[i][j];

System.out.println("Sum of the matrices:-");

for ( i = 0 ; i < m ; i++ )
{
for ( j = 0 ; j < n ; j++ )
System.out.print(sum[i][j]+"\t");

System.out.println();
}
}
}```
```

## OUTPUT

```Input number of rows of matrix: 2
Input number of columns of matrix: 2
Input elements of first matrix:
1
2
3
4
Input the elements of second matrix:
5
6
7
8
Sum of the matrices:-
6 8
10 12
```
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