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# how can we find eigen values and eigen vector of a matrix having variable like x or y ?

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abhishek shukla on 12 Dec 2019
Answered: Raj on 12 Dec 2019
how can we find eigen values and eigen vector of a matrix having variable like x or y ?
we have matix
a = [ 2, 1+z^-1 ; z+1 2];
i want to find eigen values of a.

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### Answers (2)

Raj on 12 Dec 2019
You need to have 'Symbolic Math toolbox' to do this. Then you can calculate the Eigen values & Eigen vectors in terms of the variables something like this:
syms z;
a = [ 2, 1+z^-1 ; z+1 2];
[V,D]=eig(A);

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Hiro Yoshino on 12 Dec 2019
a is supposed to be in its size otherwise you can calculate neither eigen values nor eigen vectors to begin with.

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Raj on 12 Dec 2019
Correct but the 'a' matrix given in question is a 2x2 matrix. So the matrix is square and I don't see any problem here.

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