整数行列式奇偶探究

Research on Integer Determinant Parity

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■.

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 pn=Пk=1^n（1-1/2^k）,limn→∞pn=0.288788….