Java two dimensional array matrix multiplication method

public interface IMatrixMultiple { 
    public int[][] mmltiple(int[][]a ,int [][]b); 
} 
?public class MatrixMultiple implements IMatrixMultiple { 

    @Override
    public int[][] mmltiple(int[][] a, int[][] b) { 
        int [][] result = new int[a.length][b[0].length]; 
        for (int i = 0; i<a.length; i++) { 
            for (int j = 0; j<b[0].length; j++) { 
                for (int k = 0; k<a[0].length; k++) { 
                    result[i][j]= result[i][j]+a[i][k]*b[k][j]; 
                } 
            } 
        } 
        return result; 
    } 
}