Hello, everyone. I would like to get some concrete examples of the number of distinct bases of k-dimensional vector space W over a finite field F with q elements. The formula for the number of distinct bases of W is ( p 412 Dummit ) (q^k - 1 )(q^k - q)(q^k - q^2)....(q^k - q ^(k-1) ) I am having a hard time finding an example of F with 2 elements and W be 2-dimensional vector space. According to the formula, 6 distinct bases of W should be acquired. I will appreciate if anyone shows these 6 distinct bases of W. Thanks in advance.