Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

If I am asked to find the number of ordered bases of a finite-dimensional vector space over $\mathbb F_p$, what does that mean? Thanks!

share|improve this question
add comment

2 Answers

up vote 2 down vote accepted

It means the number of linearly independent $n$-tuples of vectors, if the space has dimension $n$. It is the same as the number of $n\times n$ invertible matrices over $\mathbb F_p$ because any two bases are related by one of those.

share|improve this answer
add comment

It just means that $\{a,b,c\}$ is counted separately from $\{a,c,b\}, \{c,a,b\}$ etc.

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.