How can I use "eig" in symbolic variables?

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How can I use "eig" in symbolic variables?
I have this Equation : [A]*{x}=(omega)^2*[B]*{x}
which A=[2a+3b ,2b+3a ; a+b,a-b] And B=[5a+8b, b^2+5 ; a-5b,2b+3a]
and want to use "eig" for it.

Accepted Answer

KSSV
KSSV on 4 Sep 2019
Edited: KSSV on 4 Sep 2019
syms a b l
A=[2*a+3*b ,2*b+3*a ; a+b,a-b] ;
B=[5*a+8*b, b^2+5 ; a-5*b,2*b+3*a] ;
C = A-l^2*B ;
eqn= det(C)==0 ;
iwant = solve(eqn,l)
  3 Comments
KSSV
KSSV on 4 Sep 2019
Yes..modified the answer check.
Mario C
Mario C on 14 Jun 2022
Why is it necessary to put a 1 in the last line?

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