Eigenvectors
08-21-2021, 07:48 AM
Post: #10
 rawi Member Posts: 144 Joined: Nov 2019
RE: Eigenvectors
DrD wrote:
Quote:a:=[[0.9,0.2], [0.1,0.8]]; Entries with approximate values
a1:=[[9/10,2/10], [1/10,8/10]]; The same matrix with exact values

eigenvects(a); ==> [[0.894427191,−0.7453559925],[0.4472135955,0.7453559925]];

// Using either of these:
eigenvects(exact(a));
eigenvects(a1); // ==> [[2,-1],[1,1]]; MUCH nicer to work with

Wolfram Alpha returns [[2,-1],[1,1]],

I do not see any problem here. All solutions are correct. If a vector a is an eigenvector as well c*a is an eigenvector with c being any real number different from zero.
The solution starting with .89 is a normalized solution with the length of the eigenvector being 1. The solution starting with 2 is not normalized but has the advantage of being an exact solution.

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 Messages In This Thread Eigenvectors - DrD - 12-27-2018, 11:40 AM RE: Eigenvectors - parisse - 12-27-2018, 12:58 PM RE: Eigenvectors - DrD - 12-27-2018, 03:58 PM RE: Eigenvectors - parisse - 12-27-2018, 04:32 PM RE: Eigenvectors - jte - 08-20-2021, 08:21 PM RE: Eigenvectors - John Keith - 12-27-2018, 04:42 PM RE: Eigenvectors - compsystems - 12-27-2018, 04:50 PM RE: Eigenvectors - parisse - 12-27-2018, 04:51 PM RE: Eigenvectors - compsystems - 12-27-2018, 05:30 PM RE: Eigenvectors - rawi - 08-21-2021 07:48 AM

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