Determinant Calculator for n by n matrix

static int findDeterminant(int arr[][]){
        int rows = arr.length;
        int cols = arr[0].length;
        // Base Condition
        if(rows == 2 && cols == 2){
            // We stop when rows = 2, and cols = 2
            // because to calculate the
            // determinant of a 2 by 2 matrix
            // it does not need to be broken further
            int det = (arr[0][0] * arr[1][1]) - (arr[0][1] * arr[1][0]);
            return det;
        }
        else{
            int det = 0;
            int co_factors[][] = new int[rows - 1][cols - 1];
            for(int j = 0; j < cols; j++){
                // The element is arr[0][j]
                // Calculating the co-factors of
                // arr[0][j]
                int c_i = 0;
                for(int row = 1; row < cols; row++){
                    int c_j = 0;
                    for(int col = 0; col < cols; col++){
                        // The co-factors are present in those columns to which
                        // the element arr[0][j] does not belong
                        if(col != j){
                            co_factors[c_i][c_j] = arr[row][col];
                            c_j++;
                        }
                    }
                    c_i++;
                }
                System.out.println("Co-factors of " + arr[0][j] + " are");
                display(co_factors);
                // For even indexed columns the co-factors have a + sign
                // For odd indexed columns the co-factors have a - sign
                if(j % 2 == 0){
                    det += arr[0][j] * findDeterminant(co_factors);
                }
                else{
                    det -= arr[0][j] * findDeterminant(co_factors);
                }
            }
            return det;
        }
    }