Recent content by hopsonuk

  1. H

    Show something is a vector space.

    Ok, so how do I write this out to check LHS = RHS ?
  2. H

    Show something is a vector space.

    If i write this for associativity: b(x)[c(x)a] = (b x c)(x)a I cannot get the RHS = LHS..
  3. H

    Show something is a vector space.

    I think my associativity is incorrect.
  4. H

    Show something is a vector space.

    Is what I have written for distributivity law 2 correct?
  5. H

    Show something is a vector space.

    Ok :) - Here is a re-upload:
  6. H

    Show something is a vector space.

    1. Homework Statement [PLAIN]http://img87.imageshack.us/img87/9001/150674.png 2. Homework Equations 3. The Attempt at a Solution I think, I need to write: a(x)[b(+)c] Then prove: Distributivity law 1: Unsure of Distributivity law 2: Proving: a(x)[b(+)c] =...
  7. H

    How do you show that two functions are equal?

    I can't get the code to work to show my derivation, the way I thought I could is the way you said earlier is not allowed since the group is not commutative.
  8. H

    How do you show that two functions are equal?

    I haven't done it correctly as commutativity does not hold true, because I cannot times sigma by (a...an) and sigma by it's inverse.
  9. H

    How do you show that two functions are equal?

    Referring to the above in the last post.
  10. H

    How do you show that two functions are equal?

    Sorry I posted during you reply, I've had a look and it's quite easy to derive the RHS from the LHS. Do I need to prove from RHS to LHS as well?
  11. H

    How do you show that two functions are equal?

    Surely sigma multiplied by it's inverse will give the identity? Which composed with <a1...as> would give <a1...as>.
  12. H

    How do you show that two functions are equal?

    For the arbitrary element b, does this need subsituting for a or the permutation sigma?
  13. H

    How do you show that two functions are equal?

    If we plotted two functions, surely they'd look exactly the same?
  14. H

    How do you show that two functions are equal?

    Wouldn't we be able to observe if two functions are equal?
  15. H

    How do you show that two functions are equal?

    Homework Statement Homework Equations The Attempt at a Solution I honestly do not know how to start this.
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