How to solve a matrix quadratic equation?

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Isabelle Ietka
Isabelle Ietka on 20 Feb 2020
Answered: Alex Mcaulley on 20 Feb 2020
How can I solve this kind of determinant equation? Here is the example:
det(K-w²*M)=0
Where I know de matrix K (3x3) and M (3x3), and have to find the vector w.
Waiting to your reply, thank you in advance!

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Answers (2)

Ajay Kumar
Ajay Kumar on 20 Feb 2020
Kminusw2 = K - w^2;
mymatrix = Kminusw2.*M;
myfinalanswer = det(mymatrix);
Alex Mcaulley
Alex Mcaulley on 20 Feb 2020
syms w
solve(det(K-w^2*M),w)

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