Changes

===Complex Numbers as Matrices===

===Complex Numbers as Matrices===

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: