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整数行列式奇偶探究
引用本文:郭振海,何青.整数行列式奇偶探究[J].数学的实践与认识,2010,40(21).
作者姓名:郭振海  何青
摘    要:用古典概型,计算机模拟,整数模2同余简化的方法,以及线性空间相关性的理论,分析,计算,论证了元素都是整数的行列式值为奇数的概率.得到了相合一致的结论:n阶整数行列式的值为奇数的概率■.

关 键 词:行列式  概率  Mathematica软件  模2同余

Research on Integer Determinant Parity
GUO Zhen-hai,HE Qing.Research on Integer Determinant Parity[J].Mathematics in Practice and Theory,2010,40(21).
Authors:GUO Zhen-hai  HE Qing
Abstract:With the classical probability model,computer simulation,integer modulo 2 congruence simplified approach,and the theory of linear spatial correlation,we analyze and calculate the probabblity that the determinant whose elements are all odd integers is odd.The consistency unanimous conclusions are reached:the probability that the n-order determinant is odd is and ■.
Keywords:determinant  probability  Mathematics software  modulo 2 congruence
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