So, if I continue with my reasoning as with my first post, how should I continue? And is this countable without using computer programs?
The answer should be (3/8)*32^4.
I have another clue. I found that this has something to do with General Linear Group, however I am unfamiliar with group theory. Even though the lack of understanding of group theory, I came across the explanation of how to count invertible matrices.
There are accordingly to Wikipedia...
Dear forum members,
I have a small problem counting all the invertible matrices of the size 2x2 providing \mathbb{Z}_{n}. This problem was difficult for me so I decided to go on counting how many invertible 2x2 matrices there are for n=32. My strategy to solve the problem was first by...