# Show that the set of matrices such that $\det A \neq 0$ is open

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Like the title claims just how would certainly you show that the set of matrices such that $\det A \neq 0$ is open ?

I can not also see where to start! As I can not imagine just how I would certainly locate a matrix 'round' of size $\epsilon$ for every single component of the set?

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2022-07-25 20:46:40
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