Q:

Java Program to determine whether two matrices are equal

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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[0].length
  • STEP 7: row2 =b.length
  • STEP 8: col2 = b[0].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

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program

public class EqualMatrix    
{    
    public static void main(String[] args) {    
        int row1, col1, row2, col2;    
        boolean flag = true;    
            
        //Initialize matrix a    
        int a[][] = {       
                        {1, 2, 3},    
                        {8, 4, 6},    
                        {4, 5, 7}    
                    };    
              
          //Initialize matrix b    
        int b[][] = {       
                        {1, 2, 3},    
                        {8, 4, 6},    
                        {4, 5, 7}    
            };    
              
        //Calculates the number of rows and columns present in the first matrix    
    
          row1 = a.length;    
        col1 = a[0].length;    
            
        //Calculates the number of rows and columns present in the second matrix    
    
          row2 = b.length;    
        col2 = b[0].length;    
            
        //Checks if dimensions of both the matrices are equal    
        if(row1 != row2 || col1 != col2){    
            System.out.println("Matrices are not equal");    
        }    
        else {    
            for(int i = 0; i < row1; i++){    
                for(int j = 0; j < col1; j++){    
                  if(a[i][j] != b[i][j]){    
                      flag = false;    
                      break;    
                  }    
                }    
            }    
                
            if(flag)    
                System.out.println("Matrices are equal");    
            else    
                System.out.println("Matrices are not equal");    
        }    
    }    
}    

Output:

Matrices are equal

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