How to determine eigenvalues and eigenvectors?
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Md Ashikuzzaman
on 13 Jul 2022
Edited: Abderrahim. B
on 13 Jul 2022
I have two matrices for example A and B. A=[3,9;3,5] and B=[2,0;0,8].
They are part of an eigenvalue problem of the form: (A-(lambda)B)x=0.
How do I find the eigenvalues and vectors using matlab? Please solve this problem using values and sharee the code from your monitor if possible.
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Accepted Answer
Bruno Luong
on 13 Jul 2022
Edited: Bruno Luong
on 13 Jul 2022
A=[3,9;3,5]
B=[2,0;0,8]
[V lambda] = eig(A,B,'vector')
% here is the first eigen vector with lambda(1) the corresponfing eigen
% value
x1 = V(:,1)
(A - lambda(1)*B)*x1 % small but not 0 due to finite precision floating point
% second eigen vector and second eigen value lambda(2)
x2 = V(:,2)
(A - lambda(2)*B)*x2 % small but not 0 due to finite precision floating point
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More Answers (2)
Abderrahim. B
on 13 Jul 2022
Edited: Abderrahim. B
on 13 Jul 2022
Use eig
A = [3,9;3,5];
[eVecs, eVals] = eig(A)
Eigenvalues are the diagonal elements of eVals. To get them use diag
eValues = diag(eVals)
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Chunru
on 13 Jul 2022
% doc eig for more details
A=[3,9;3,5]
B=[2,0;0,8]
[vA, dA] = eig(A)
[vB, dB] = eig(B)
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