Sherman Woodbury Morrison

For conformable matrices and inverted matrices $A$ and $C$,

• $(A + UCV)^{-1} = A^{-1} - A^{-1} U (C ^{-1} + VA^{-1}U)^{-1} V A^{-1}$
• $\det(A + UCV) = \det(C^{-1} + V A^{-1} U) \cdot \det(C) \cdot \det(A)$

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