### How to find all the sub-square matrices of an 4x4 matrix and all their determinants

- I need to find all the sub-square matrices of a $4 \times 4$ matrix.
- Then find the determinant of all $70$ of them.

I was directed to Sage but I know little about it. A simple program would be much appreciated.

For example, the matrix below:

$$2\quad 3\quad 1\quad 1$$
$$1\quad 2\quad 3\quad 1$$
$$1\quad 1\quad 2\quad 3$$
$$3\quad 1\quad 1\quad 2$$

Thanks to anyone who can help.