- #1
rosh300
- 17
- 0
Homework Statement
Find the dimensions and basis of the following vector space V over the given field K:
a) V is the set of all polynomials over R (real) of degree at most n and whose coefficients add to 0, K = R (real numbers)
b) K = R (real), and V is the set of functions from R to R which are solutions of the differential equation: d2f/dx2 - 9f = 0
Homework Equations
definition of basis, spanning and dimensions
The Attempt at a Solution
for part a) i think the dimetions is N and the basis is all the factors
for part b) i think it has 2 dimentions and the basis is df/dx - 3 and df/dx +3