Re: linear algebra invertible matrices
- From: Virgil <ITSnetNOTcom#virgil@xxxxxxxxxxx>
- Date: Sat, 07 Jan 2006 18:53:49 -0700
In article <43c06281$0$19718$8fcfb975@xxxxxxxxxxxxxxx>,
Rodolphe Richard <rodolphe.richard@xxxxxx> wrote:
> Robert a écrit :
> > Consider real matrix
> > A= (3 2 4)
> > (2 0 2)
> > (4 2 3)
> > Show that A is diagonalisable and compute an invertible matrix P and a
> > diagnal matrix D such that A= PDP^-1.
D = [[ 8 0 0 ] P = [[ 2 1 0 ]
[ 0 -1 0 ] [ 1 0 2 ]
[ 0 0 -1 ]] [ 2 -1 -1 ]]
And you may replace P by PQ where Q is any invertable diagonal matrix
.
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