Alternative proof for continuity of matrix inversion – math.stackexchange.com

Alternative proof for continuity of matrix inversion – math.stackexchange.com

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I am to show that $\mathrm{inv}: \mathrm{GL}_{n \times n}(\mathbb{R}) \to \mathrm{GL}_{n \times n}(\mathbb{R}); A \mapsto A^{-1}$ is a continuous function. I have shown this by showing that the ...

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