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Question Number 55857 by Joel578 last updated on 05/Mar/19

$$\mathrm{Let}A\mathrm{and}B\mathrm{are}\mathrm{matrices}\mathrm{in}{\mathbb{R}}^{2017\times 2017}\mathrm{such}\mathrm{that}$$$$A^{-1}={(A+B)}^{-1}-B^{-1}$$$$\mathrm{and}$$$$\det \left(A^{-1}\right)=2017$$$$\mathrm{Find}\det \left(B\right)$$

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