Can I get coefficients of a vector with respect to given basis for a vector space.
I have a question.
- make vector space
Vby a basis
B=[1+x,3*x,x^2]over the field of rationals
We easily know the solution of previous example.
In general, for given basis
B and a vector
v, how can I get the list of coefficients?
And is it possible to the case of matrix space (
B: the basis consists of matrices) ?