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The field F on complex numbers is isomorphic to the field F' of 2x2 matrices of the form

The field F on complex numbers is isomorphic to the field F' of 2x2 matrices of the form

:[a  -b]

:[a  -b]

:[b   a],

:[b     a],

with <math>a+bi</math> mapping as a function f to the above matrix.

with <math>a+bi</math> mapping as a function f to the above matrix.

We can see that F and F' are isomorphic because:

We can see that F and F' are isomorphic because: