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 . . .

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- Nov 29th 2009, 07:47 PM #1

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## 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, 04:15 PM #2

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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 . . .