Let $S$ be the set of all $3 \times 3$ matrices $A$ with integer entries such that the product $AA^t$ is the identity matrix.
Then $|S|$ is :
- 23.
- 24
- 48
- 60
Answer is $48$ but I don't know how to solve it.
2026-03-28 06:16:36.1774678596
Number of $3 \times 3$ matrices with integer entries such that $AA^t$ is the identity matrix
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