How often do determinants over finite fields vanish?
暂无分享,去创建一个
Abstract The true formula is given for the probability that an n × n matrix over a finite field has determinant zero. This probability does not (as previously asserted) approach 1 as n grows.
[1] A. Mukhopadhyay,et al. On the probability that the determinant of an n x n matrix over a finite field vanishes , 1984, Discret. Math..
[2] Frank Gerth,et al. Limit probabilities for coranks of matrices over GF(q) , 1986 .
[3] Joseph P. Brennan,et al. Remarks on the probability the determinant of an n × n-matrix over a finite field vanishes , 1987, Discret. Math..
[4] H. N. Shapiro. Introduction to the theory of numbers , 1983 .