2 problems

Let $M$ be an $n\times n$ $(-1,1)$-matrix of skew type, and consider the corresponding skew matrix $M-I$. Suppose that $\det M$ varies over the interval … Monotonicity conjecture.…

Let $n$ be an integer with … Let $f_k(n)$ be the maximum determinant of $n\times n$ skew matrices with diagonal entries $0$ and off-diagonal entries in $\{-1,1\}$, and let $g_k(n)$…