Question: By computing (A + BCD) (A-AB(DAB+C-)-DA) prove the matrix inversion lemma (A + BCD) = A-AB (DAB + C) DA with nonsingulaar A and

By computing (A + BCD) (A-AB(DAB+C-)-DA) prove the matrix inversion lemma (A + BCD) = A-AB (DAB + C) DA with nonsingulaar A and C. Also, show that (I + C(sI - A)-B) = I-C(sI-A + BC)-B.

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