Dear all, This is a Chinese student, and he find a problem in algebra. It reads as follows:

Let $\displaystyle V$ be an $\displaystyle n$-dimensional vector space. Then we can find a sequence of vectors $\displaystyle \{v_n\}_{n=1}^\infty$ such that any $\displaystyle n$ number of $\displaystyle \{v_n\}_{n=1}^\infty$ form a basis of $\displaystyle V$?

Thank you very much. With best wishes.