How to show the existence of $\alpha_1,\cdots,\alpha_n$ as a basis of $L|K$ which is contained in $B$?

26 Views Asked by At

enter image description here In (2.9) Lemma, how to show the existence of $\alpha_1,\cdots,\alpha_n$ as a basis of $L|K$ which is contained in $B$?

1

There are 1 best solutions below

0
On

enter image description here

Let $\beta_1, \cdots,\beta_n$ be any basis of $L|K$, we can use this method to get $\alpha_1,\cdots, \alpha_n$ as basis of $L|K$ which is contained in $B$.