(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The question is:

2. Relevant equations

I really don't know what to put here but my method is:

-Find det(A-[tex]\lambda[/tex]I)

-Find the roots of the determinant - which are the eigenvalues

-Solve for (X -([tex]\lambda[/tex])I)

I am stuck at this part

3. The attempt at a solution

So I managed to find the determinant, which is:

[tex]\lambda[/tex]^3 -5[tex]\lambda[/tex]^2 -3[tex]\lambda[/tex] +9

The Eigenvalues are:

[tex]\lambda[/tex]1 = 1

[tex]\lambda[/tex]2 = -3

[tex]\lambda[/tex]3 = -3

Now I'm trying to solve for the eigenvector of eigenvalue 1, however manipulating the matrix does not yield anything that I can use to solve for k1 k2 and k3

Any help with this will be greatly appreciated,

Thanks

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# Finding the general solution of a system of differential equations

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