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"Stephen Montgomery-Smith" <stephen@xxxxxxxxxxxxxxxxx> wrote in message
news:S9tch.1085067$084.757064@xxxxxxxxxxxx
> mina_world wrote:
> > Hello sir~
> >
> > Matrix A =
> >
> > |cos@ -sin@|
> > |sin@ cos@ |
> >
> > Show that A is diagonalizable.
> > Find P such that P^-1.A.P = D
> >
> > --------------------------------
> > I think....
> > |xA - I| = x^2 - 2xcos@ + 1 = 0.
> >
> > so, x = cos@ +-sqrt[(cos@)^2 - 1]
> >
> > Hm...I have a trouble.
> > How do you solve this?
> >
> >
>
> x = cos@ +-i sin@ = exp(i@) or exp(-i@).
Yes, thank you very much.
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