If $A$ is a known matrix, $E$ is a diagonal unknown matrix and
$$\det(A+E) = 0$$
one of the solutions for $E$ is $E = -a_i I$, where $a_i$ is an eigenvalue of $A$. How can find other solutions?
2026-04-01 04:58:13.1775019493
Given $\det(A+E)=0$, find $E$
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