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Topic: characteristic polynomial into matrix
Replies: 2   Last Post: Jan 4, 2013 6:18 PM

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Roger Stafford

Posts: 5,811
Registered: 12/7/04
Re: characteristic polynomial into matrix
Posted: Jan 4, 2013 6:18 PM
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"Muhammad Ali" wrote in message <kc7gfg$25e$1@newscl01ah.mathworks.com>...
> i have a characteristic polynomial equation (M = (s^4) + (0.6*s^3) + (0.65*s^2) + (0.6*s) + 0.006) i need to change this matrix form.... dont know which codes to use
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A characteristic polynomial uniquely determines the eigenvalues of a matrix and nothing more. To find a corresponding matrix requires a knowledge of its eigenvectors as well. Any arbitrary set of eigenvectors combined with the given eigenvalues would give you a matrix which possesses that characteristic polynomial.

In other words, you can't find the matrix if you only know its characteristic polynomial. That isn't enough information.

Roger Stafford



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