The link Representing complex numbers as 2×2 matrices Rod Carvalho's web notebook might help with part two, but for part one I'm not sure . . .

Results 1 to 2 of 2

- Nov 29th 2009, 06:47 PM #1

- Joined
- Oct 2009
- Posts
- 58

## Isomorphich question

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?

- Nov 30th 2009, 03:15 PM #2

- Joined
- Nov 2009
- Posts
- 12

The link Representing complex numbers as 2×2 matrices Rod Carvalho's web notebook might help with part two, but for part one I'm not sure . . .