Recent content by sschmiggles

  1. S

    Differential Equations or Number Theory for Computer Science?

    I'm getting ready to register for classes for the fall. To make a long story short, I might have to take another math class to satisfy a degree requirement, rather than a computer science class. I'm taking Linear Algebra right now. I enjoy it, and it seems to have a lot of practical...
  2. S

    Prove that the set {X: XA = AX} is a subspace of M 2,2

    Yeah, I understand it now. This is the first class I've had to write my own proofs in, so I'm still getting used to it. Thanks again for the help.
  3. S

    Prove that the set {X: XA = AX} is a subspace of M 2,2

    But how do I know that there isn't a scalar that would change X in such a way that (cX)A ≠ A(cX)? Edit: I guess I get what you're saying now, but it still confuses me how I can just say that they're equal with no real evidence.
  4. S

    Prove that the set {X: XA = AX} is a subspace of M 2,2

    Homework Statement A is a 2 x 2 matrix. Prove that the set W = {X: XA = AX} is a subspace of M2,2Homework Equations The Attempt at a Solution I have already proven non-emptiness and vector addition. Non-emptiness: W must be non-empty because the identity matrix I is an element of W. IA = AI A...
  5. S

    Volume by Shells, continually getting wrong answers

    Thanks a lot. I was making this a lot harder for myself than I needed to.
  6. S

    Volume by Shells, continually getting wrong answers

    Thanks, I've got it now too, but how am I supposed to know when to subtract the width/height from x without looking at a graph? I just did a very similar problem (y = 8 - x^3), subtracted from x for the height, and got the wrong answer. I got the right answer when I didn't subtract h from x...
  7. S

    Volume by Shells, continually getting wrong answers

    Homework Statement y = x^(1/3) - 2 Find volume across the x-axis on 8 <= x <= 27 using the Method of Shells Homework Equations V = 2pi * Integral(r * h) from a -> b The Attempt at a Solution Let x = (y + 2)^3 Let h = (y +2)^3 // Set height Let r = y // Set...
Back
Top