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1. I need to find all the sub-square matrices of a $4 \times 4$ matrix.
2. 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.