# Java Program to determine whether two matrices are equal

In this program, we need to check whether given matrices are equal or not.

Two matrices are said to be equal if and only if they satisfy the following conditions:

• Both the matrices should have the same number of rows and columns.
• Both the matrices should have the same corresponding elements.

Consider the above example, where matrices A and B are equal as they have the same size and same corresponding elements.

### Algorithm

• STEP 1: START
• STEP 2: DEFINE row1, col1, row2, col2
• STEP 3: INITIALIZE first matrix a[][] ={{1, 2, 3}, {8, 4,6}, {4, 5,7}}
• STEP 4: INITIALIZE second matrix b[][] ={{1 2, 3}, {8, 4, 6}{4, 5, 7}}
• STEP 5: row1 = a.length
• STEP 6: col1 = a.length
• STEP 7: row2 =b.length
• STEP 8: col2 = b.length
• STEP 9: if(row1!=row2 || col1!=col2)
then
PRINT “No”
else
go to step 10;
• STEP 10: REPEAT STEP 11 UNTIL i<row1
//for(i=0; i<row1; i++)
• STEP 11: REPEAT STEP12 UNTIL j<col1
//for(j=0; j<col1; j++)
• STEP 12: if(a[i][j]=b[i][j]) then
flag =false
break
• STEP 13: if(flag)
then PRINT “Yes”
else
PRINT “No”
• STEP 14: END

## program

1. public class EqualMatrix
2. {
3.     public static void main(String[] args) {
4.         int row1, col1, row2, col2;
5.         boolean flag = true;
6.
7.         //Initialize matrix a
8.         int a[][] = {
9.                         {1, 2, 3},
10.                         {8, 4, 6},
11.                         {4, 5, 7}
12.                     };
13.
14.           //Initialize matrix b
15.         int b[][] = {
16.                         {1, 2, 3},
17.                         {8, 4, 6},
18.                         {4, 5, 7}
19.             };
20.
21.         //Calculates the number of rows and columns present in the first matrix
22.
23.           row1 = a.length;
24.         col1 = a.length;
25.
26.         //Calculates the number of rows and columns present in the second matrix
27.
28.           row2 = b.length;
29.         col2 = b.length;
30.
31.         //Checks if dimensions of both the matrices are equal
32.         if(row1 != row2 || col1 != col2){
33.             System.out.println(“Matrices are not equal”);
34.         }
35.         else {
36.             for(int i = 0; i < row1; i++){
37.                 for(int j = 0; j < col1; j++){
38.                   if(a[i][j] != b[i][j]){
39.                       flag = false;
40.                       break;
41.                   }
42.                 }
43.             }
44.
45.             if(flag)
46.                 System.out.println(“Matrices are equal”);
47.             else
48.                 System.out.println(“Matrices are not equal”);
49.         }
50.     }
51. }

Output:

`Matrices are equal`