How can I prove this in linear algebra? – math.stackexchange.com

How can I prove this in linear algebra? – math.stackexchange.com

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How can I prove this: $$\mathrm{det}(A^2+AB+B^2) \geq (\det(A)-\det(B))^2$$ where $AB=BA$ and $A,B \in \mathbb M_2(R)$?

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