Eigenvectors

12272018, 11:40 AM
Post: #1




Eigenvectors
Commands exist to return eigenvectors for a given matrix; but difficulties arise with these, because of the nature of exact, (versus approximate), entries within a matrix.
exact(matrix) can be helpful here, but this layers confusion, delaying productivity, and becoming a frustrating part of the prime CAS. For example, (Markov) matrix: [CAS] 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]], in BOTH cases, visibly easier to work with, and quickly compares to the result obtained, by hand, when manually deriving the eigenvectors. Comments? Dale 

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Messages In This Thread 
Eigenvectors  DrD  12272018 11:40 AM
RE: Eigenvectors  parisse  12272018, 12:58 PM
RE: Eigenvectors  DrD  12272018, 03:58 PM
RE: Eigenvectors  parisse  12272018, 04:32 PM
RE: Eigenvectors  John Keith  12272018, 04:42 PM
RE: Eigenvectors  compsystems  12272018, 04:50 PM
RE: Eigenvectors  parisse  12272018, 04:51 PM
RE: Eigenvectors  compsystems  12272018, 05:30 PM

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