Genrate a random 2d array with random row length

I am trying to generate 2d random array similar to:

 array[random][random2]
 { 
   {1, 2},
   {6, 4},
   {-1, 5},
   {-2}
 }

the values in the array are also random, It may have -9 to -1 to 1 to 9 numbers.

Here's what i got:

public class gen2dArray {

   public static void main(String args[]) {

      Random random = new Random();
      int n = 0;
      int max = 5, min = 1;

      n = random.nextInt(max - min + 1) + min;

      int maxRowCol = (int)Math.pow(2,n);

      int RandMaxRows = random.nextInt(maxRowCol);
      int RandMaxColums = random.nextInt(maxRowCol);


      int [][] array = new int [RandMaxRows][RandMaxColums];

      for (int i = 0; i < array.length; i++) {
         for (int j = 0; j < random.nextInt(array[i].length)+1; j++) {
           array[i][j] = random.nextInt(9) + 1;
         }
      }
      System.out.println(Arrays.deepToString(array));
   }
}

Output 1:

 [
   [4, 4, 5, 0], 
   [2, 3, 0, 0]
 ]

Output 2:

[
   [5, 2, 1, 0, 0],
   [3, 4, 2, 0, 0],
   [3, 1, 5, 0, 0, 0], 
   [4, 3, 2, 0, 0]
 ]

There are few problems,

1. Some outputs are just [[]] or []

2.

Exception in thread "main" java.lang.IllegalArgumentException: n must be positive
            at java.util.Random.nextInt(Random.java:300)
            at gen2dArray.main(gen2dArray.java:23)

3. Getting the zeros in the array. There should be no zeros.

Output one has to be like:

[
   [4, 4, 5],
   [2, 3]
]

Thank you in advance!