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?