Java - Output 2d array to textarea

Hello, I'm trying to make a turtle graphics program and I need help displaying a 20X20 array to a textarea (swing). This what I have so far but this only displays one zero at the top left hand corner of the text area.

public void drawArray(int array[][]){

for (int row=0; row<array.length;row++){

for (int column=0; column<array[row].length; column++)
textArea1.setText(Integer.toString(array[row][column]));


}
}

This is an example I'm trying to use from my book:

public void drawArray(int array[][]){

for (int row=0; row<array.length;row++){

for (int column=0; column<array[row].length; column++)
System.out.printf("%d ", arrray[row][column]);

System.out.println(); //starts new line of output

}
}

I'm trying to find a command simular to System.out.println(); which will allow me to use swing instead of the system output screen.

Thanks.