Algorithm to Calculate the Sum of Each Row and Column in a Matrix
-
- STEP 1: START
- STEP 2: DEFINE rows, cols, sumRow, sumCol
- STEP 3: INITIALIZE matrix a[][] ={{1, 2, 3},{4, 5, 6}, {7, 8, 9}}
- STEP 4: rows = a.length
- STEP 5: cols = a[0].length
- STEP 6: REPEAT STEP 7 to STEP 10 UNTIL i<rows
// for(i=0; i<rows; i++) - STEP 7: SET sumRow =0
- STEP 8: REPEAT STEP 9 UNTIL j<cols
- STEP 9: sumRow = sumRow + a[i][j]
- STEP 10: PRINT i+1, sumRow
- STEP 11: REPEAT STEP 12 to STEP 15 UNTIL i<cols
//for(i=0; i<cols; i++) - STEP 12: SET sumCol =0
- STEP 13: REPEAT STEP 14 UNTIL j<rows
//for(j=0; j<rows; j++) - STEP 14: sumCol =sumCol + a[j][i]
- STEP 15: PRINT i+1, sumCol
- STEP 16: END
Java Program to Calculate the Sum of Each Row and Column in a Matrix
public class SumofRowColumn
{
public static void main(String[] args) {
int rows, cols, sumRow, sumCol;
//Initialize matrix a
int a[][] = {
{1, 2, 3},
{4, 5, 6},
{7, 8, 9}
};
//Calculates number of rows and columns present in given matrix
rows = a.length;
cols = a[0].length;
//Calculates sum of each row of given matrix
for(int i = 0; i < rows; i++){
sumRow = 0;
for(int j = 0; j < cols; j++){
sumRow = sumRow + a[i][j];
}
System.out.println("Sum of " + (i+1) +" row: " + sumRow);
}
//Calculates sum of each column of given matrix
for(int i = 0; i < cols; i++){
sumCol = 0;
for(int j = 0; j < rows; j++){
sumCol = sumCol + a[j][i];
}
System.out.println("Sum of " + (i+1) +" column: " + sumCol);
}
}
}
Output:
Sum of 1 row: 6 Sum of 2 row: 15 Sum of 3 row: 24 Sum of 1 column: 12 Sum of 2 column: 15 Sum of 3 column: 18
In conclusion, the provided Java program allows for the calculation of the sum of each row and column in a matrix. By iterating through the matrix and accumulating the values of each row and column, the program accurately calculates the sums. Follow tutorials.freshersnow.com to learn more.