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MathNet 2019-part-04 — 184 problems (EN–VI) Question 48

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 48

Let $A$ be a square matrix of order $n$ whose entries are the numbers $-2019$ or $2019$.
Determine the maximum value of the determinant of the matrix $A$ for:

a) $n=3$;

b) $n=4$.