this is a two part question...

1) i need to prove that the set F of all the 2x2 real matrices of the form

is a field with operations matrix addition and matrix multiplication.

2) Prove that F is isomorphic to

I was gonna define

by ...

i think this is obvious but not sure where to go here.. because if we are talking about real matrices, then how can it be isomorphic to a complex numbers?