Competition Maths Catchup- Algebra Edition

4/10/2023 - 4/10/2023 5:30pm - 7:30pm

Peter Hall G11

Mathematics & Statistics Society

**MUMS Competition Maths Catchup**
Time: Wednesday 4th October, 5:30pm–7:30pm+
Location: G11, Peter Hall Building

*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 A^2 = O, as a function of n.*

Want help with algebra? No worries! Come on down and enjoy some **free food** while we teach you the basics of algebra needed for competition maths.

Visit our website: https://www.melbunimathsstats.org/