Tag Archives: incidence

2012-24 Determinant of a Huge Matrix

Consider all non-empty subsets S1,S2,,S2n1 of {1,2,3,,n}. Let A=(aij) be a (2n1)×(2n1) matrix such that aij={1if SiSj,0otherwise. What is |det?

(This is the last problem of this semester. Good luck with your final exam!)

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