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Questions about the determinant of square matrices or linear endomorphisms. Also for closely related topics such as minors or regularized determinants.
69
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Determinant of sum of positive definite matrices
The inequality
$$\det(A+B)\geq \det A +\det B$$
is implied by the Minkowski determinant theorem
$$(\det(A+B))^{1/n}\geq (\det A)^{1/n}+(\det B)^{1/n}$$
which holds true for any non-negative $n\times …