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

조회 수: 42(최근 30일)
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.

답변(2개)

Raj
Raj 2019년 12월 12일
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);

Hiro
Hiro 2019년 12월 12일
a is supposed to be in its size otherwise you can calculate neither eigen values nor eigen vectors to begin with.
  댓글 수: 1
Raj
Raj 2019년 12월 12일
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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