Complex eigenvalues of real matrices

Given a matrix $$A = \begin{pmatrix} 40 & -29 & -11\\ \ -18 & 30\ & -12 \\\ \ 26 &24 & -50 \end{pmatrix}$$ has a particular intricate number $l\neq0$ as an eigenvalue. Which of the adhering to have to additionally be an eigenvalue of $A$: $$l+20, l-20, 20-l, -20-l?$$

It appears that facility eigenvalues take place in conjugate sets. It is clear that the component of the matrix is absolutely no, after that $0$ appears to be among the eigenvalues.

Please recommend.

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2022-07-25 20:41:44
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