Binary Rank n x n Test

This is the BINARY RANK TEST for n x n matrices. The least n significant bits of the random integers from the test sequence are used to form a n x n binary matrix over the field {0,1}. n is taken to be number of bits for the random number generator. The rank is determined. That rank can be from 0 to n, but ranks < n-3 are rare, and their counts are pooled with those for rank n-3. Ranks are found for 40,000 such random matrices and a chi-square test is performed on counts for ranks n, n-1,n-2 and <=n-3.