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Matrix probability (Posted on 2023-09-03) Difficulty: 3 of 5
Let n≥2 be an integer, and let O be the n×n matrix whose entries are all equal to 0. Two distinct entries of the matrix are chosen uniformly at random, and those two entries are changed from 0 to 1. Call the resulting matrix A. Determine the probability that A2 = O, as a function of n.

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
SolutionAnalytic SolutionBrian Smith2023-09-03 19:32:17
Solutioncomputer solution (spoiler)Charlie2023-09-03 12:13:26
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