- #1

johnson123

- 17

- 0

## Homework Statement

Show that F[x]/( g(x) ) is a n-dimensional vector space. where g is in F[x],

and g has degree n.

Its clear that F[x]/( g(x) ) is a vector space and that

B= (1,[tex]x^{2}[/tex],...,[tex]x^{n-1}[/tex]) spans F[x]/( g(x) ),

but I am having trouble showing that B is linearly independent