Algebra in the Game of ″lights-off″
Zhou Hao · Shuxue de shijian yu renshi · 2007
We study an interesting game from Internet,which is modeled as a linear equation system based on finite field F_2={0,1}.We give all the solutions for case n=5.Furthermore, we describe the four equivalent classes of the game intuitively by the methods of Algebra,that makes the player determine easily which equivalent class the initial state of the chessboard belongs to,without solving the equation system.