- #1
torquerotates
- 207
- 0
Homework Statement
For the given inner product space V=polynomial space of degree 2. Find a the unique vector h(x) such that <f,h>=int(f*h) from 0 to 1. and g(f)=f(0)+f'(1).
Homework Equations
Theorem: let V be a finite dimensional inner product space over F and let g:V->F be a linear transformation. Then there exists an unique vector, y in V such that g(x)=<x,y>
The Attempt at a Solution
well, <f,h>=g(f)
=> <f,h>=f(0)+f'(1)
=>int(f*h) from 0 to 1=f(0)+f'(1)
I have no clue how to solve this final step