- #1

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{p [itex]\in[/itex] P

_{3}(

**R**) | p(2) = p(-1) = 0 }

{ f[itex]\in[/itex]Span{e

^{x}, e

^{2x}, e

^{3x}} | f(0) = f'(0) = 0}

Attempt: Having trouble getting started...

So I think my issue is interpreting what those sets are and setting it up. So I think the sets are: i) the set of all polynomials s.t P(2) = p(-1) = 0 and ii) the set of exp functions where at 0 equal 0.

So how do I put these each into a matrix form to find the basis and dimension?