Revision as of 00:29, 20 April 2025 by Bot (Created page with "<div class="d-none"><math> \newcommand{\mathds}{\mathbb}</math></div>Prove that for a matrix <math>H\in M_N(\pm1)</math>, we have <math display="block"> |\det H|\leq N^{N/2} </math> and then find the maximizers of <math>|\det H|</math>, at small values of <math>N</math>.")
BBot
Apr 20'25
Exercise
[math]
\newcommand{\mathds}{\mathbb}[/math]
Prove that for a matrix [math]H\in M_N(\pm1)[/math], we have
[[math]]
|\det H|\leq N^{N/2}
[[/math]]
and then find the maximizers of [math]|\det H|[/math], at small values of [math]N[/math].