Multiplication of Two Matrices
This program multiplies two matrices.
Problem Statement
Write a Java program to multiply two 3x3 matrices.
Source Code
| 1 | public class MatrixMultiplication { |
| 2 | public static void main(String[] args) { |
| 3 | int[][] A = {{1,2,3},{4,5,6},{7,8,9}}; |
| 4 | int[][] B = {{9,8,7},{6,5,4},{3,2,1}}; |
| 5 | int[][] C = new int[3][3]; |
| 6 | for(int i=0;i<3;i++){ |
| 7 | for(int j=0;j<3;j++){ |
| 8 | C[i][j]=0; |
| 9 | for(int k=0;k<3;k++){ |
| 10 | C[i][j]+=A[i][k]*B[k][j]; |
| 11 | } |
| 12 | } |
| 13 | } |
| 14 | for(int i=0;i<3;i++){ |
| 15 | for(int j=0;j<3;j++){ |
| 16 | System.out.print(C[i][j]+" "); |
| 17 | } |
| 18 | System.out.println(); |
| 19 | } |
| 20 | } |
| 21 | } |
Program Output
30 24 18 84 69 54 138 114 90
Explanation
Matrix multiplication requires three nested loops: the outer two iterate rows and columns of the result, while the innermost loop computes the dot product of the corresponding row and column, demonstrating a more complex multidimensional array operation.