MathDB

C3

Part of 2017-IMOC

Problems(1)

game in matrix, det nonzero

Source: IMOC 2017 C3

8/12/2021
Alice and Bob play the following game: Initially, there is a 2016×20162016\times2016 "empty" matrix. Taking turns, with Alice playing first, each player chooses a real number and fill it into an empty entry. If the determinant of the last matrix is non-zero, then Alice wins. Otherwise, Bob wins. Who has the winning strategy?
linear algebramatrix