如何在Java中正确地将二维数组打印成文本文件？

import java.io.BufferedWriter;
import java.io.FileWriter;
import java.io.IOException;

public class ArrayToFile {
    public static void main(String[] args) {
        int[][] array = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};

        try {
            FileWriter writer = new FileWriter("output.txt");
            BufferedWriter bufferedWriter = new BufferedWriter(writer);

            for (int i = 0; i < array.length; i++) {
                for (int j = 0; j < array[i].length; j++) {
                    bufferedWriter.write(String.valueOf(array[i][j]));
                    bufferedWriter.write(" ");
                }
                bufferedWriter.newLine();
            }

            bufferedWriter.close();
            writer.close();
        } catch (IOException e) {
            e.printStackTrace();
        }
    }
}