Question: Construct between a random 4 4 matrix A with integer entries - 9 and 9. How is det A -1 related to det A?

Construct between a random 4 × 4 matrix A with integer entries - 9 and 9. How is det A^-1 related to det A? Experiment with random n x n integer matrices for n = 4, 5, and 6, and make a conjecture.

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