Re: How eigenvectors are normalized
- To: mathgroup at smc.vnet.net
- Subject: [mg130927] Re: How eigenvectors are normalized
- From: Bill Rowe <readnews at sbcglobal.net>
- Date: Sat, 25 May 2013 05:42:59 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- Delivered-to: l-mathgroup@wolfram.com
- Delivered-to: mathgroup-outx@smc.vnet.net
- Delivered-to: mathgroup-newsendx@smc.vnet.net
On 5/24/13 at 6:27 AM, bblomberg at mail.bradley.edu (Ben Blomberg)
wrote:
>When I use the function "Eigenvectors" how are the eigenvectors
>normalized? Is it Euclidean norm equal to 1, with the largest
>component has imaginary part equal to zero?
From the documentation:
For approximate numerical matrices m, the eigenvectors are normalized.
which is easily verified by:
In[1]:= m = RandomReal[1, {3, 3}];
v = Eigenvectors[m];
Norm /@ v
Out[3]= {1.,1.,1.}