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Decide whether each map is an isomorphism

  1. Oct 10, 2007 #1
    1. The problem statement, all variables and given/known data

    Decide whether each map is an isomorphism (if it is an isomorphism then
    prove it and if it isn’t then state a condition that it fails to satisfy).

    2. Relevant equations

    f : M2×2 ---- P^3 given by:

    a b
    c d --- c + (d + c)x + (b + a)x^2 + ax^3

    3. The attempt at a solution

    Ok, I know that map is isomorph if it is one-to-one and onto.

    I know it is one-to-one but I'm having problems showing that it is onto because I get confused using polynomials!

    Can somebody give me a hint?
  2. jcsd
  3. Oct 10, 2007 #2


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    Homework Helper

    What does it mean (for a mapping) to be onto?
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