Recent content by mandygirl22

  1. M

    Graduate Finding an Orthogonal Polynomial to x^2-1/2 on L2[0,1]

    *hits forehead* I knew there had to be some simple way of doing it that I was ignoring! Thanks! (and the REALLY HARD solution ended up being f(x)=x) :smile:
  2. M

    Graduate Finding an Orthogonal Polynomial to x^2-1/2 on L2[0,1]

    Find a polynomial that is orthogonal to f(x)=x2-1/2 using L2[0,1]. I have looked all in the textbook and all over the internet and have found some hints if the interval is [-1,1], but still do not even know where to start here. I think I was gone the day our professor taught this because I do...
  3. M

    Proving that W1 \cap W2 is a Subspace of V

    Prove that if W1 and W2 are subspaces of the vector space V, then W1 \cap W2 is also a subspace of V. Attempt at solution: I really don't even know where to start on this because I am confused about how to prove in general that something is a subspace. Also, I don't know how to find what W1...
  4. M

    Proving Quadratic Basis for P(2): t2+2t+1, t2+t, t2+1

    Prove that t2+2t+1,t2+t, t2+1 is a basis for the space of quadratic polynomials P(2).