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16th October 2008, 02:50 #1
Why are the eigenvalues of a matrix so important?
Why are the eigenvalues of a matrix is that important?

16th October 2008, 02:50

16th October 2008, 08:55 #2
eigenvalue denominator
in case of system represented by a transfer function. the roots of the denominator are eigen values and their value is important to gain insigh in the stability of the systems. i think they have other advantages also but cant fgure it out..
regards

16th October 2008, 08:55

16th October 2008, 15:02 #3
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moment of inertia and eigenvalues
Suppose you have a square matrix A and you have to find a function f(A). The eigen values are the solution of the characteristic equation AλI = 0, which is a function F(λ). From this you can find any function of A using CH theorem.
One very important use of eigenvalues is finding the principal axes of a rotating system using moment of inertia tensor. Eigen values are required to diagonalize the matrix of the tensor to find them.

16th October 2008, 15:02

16th October 2008, 22:27 #4
how to find transfer function from eigenvalues
To sohailkhanonline: Could you please be a little more clear, because what you are saying sounds interesting. You say, the roots of the denominator of a transfer function are eigenvalues. But eigenvalues of what? To find the eigenvalues you should have a matrix, so what is that matrix for your case.
Added after 1 minutes:
To subharpe: I think it is not a must to have a square matrix for eigenvalue calculation.

17th October 2008, 07:13 #5
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how eigenvalues relates to transfer function
To senaydud:
I don't know if any nonsquare matrix can have a eigenvalue. Can you please be detailed on that?
With thanks
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17th October 2008, 07:13

18th October 2008, 02:20 #6
Eigenvalues
yes I have checked with the matlab and it requires the matrix to be a square matrix. You are right
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