All,

Let V be the vector space of all polynomials of degree 3 at most. Is the set

linearly independent? Is A a basis for V

First of all i want to establish the difference between 'basis' and 'its dimension'. I am thinking they mean the same thing...ie, is of dimension 3 because you need 3 linearly independant vectors to get to a point in 3D space. THis is the same as saying it has a basis involving 3 vectors.....correct me if im wrong...

Thanks