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SEEMOUS 2023: University Math Problems by Adrian Culică is a document available to read on EtoBox.

This document contains 4 problems for the 17th South Eastern European Mathematical Olympiad for University Students to be held March 7-12, 2023 in Struga, North Macedonia. Problem 1 asks to prove that if matrices A and B satisfy a given equation, then the determinant of A is 0. Problem 2 asks to find a limit involving a square root sequence and natural logarithms. Problem 3 asks to prove that if a square matrix satisfies a given equation, then it is equal to its conjugate transpose. Problem 4 has two parts:

Author

Adrian Culică

Language

EN