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Results tagged with determinants
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user 482653
Questions about the determinant of square matrices or linear endomorphisms. Also for closely related topics such as minors or regularized determinants.
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$\det(I+A) \leq 1$ with equality if and only if $A$ is nilpotent
Suppose we are given the following:
An $n \times n$ matrix $A$ (with rational entries).
$\operatorname{trace}(A)=0$
$B=A+I$ where $I$ is the $n \times n$ identity matrix.
Question. What condition …
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