By computing (A + BCD) (A-AB(DAB+C-)-DA) prove the matrix inversion lemma (A + BCD) = A-AB...
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By computing (A + BCD) (A¹-A¹B(DA¹B+C-¹)-¹DA¹) prove the matrix inversion lemma (A + BCD)¹ = A¹-A¹B (DA¯¹B + C¯¹)¹ DA¹ with nonsingulaar A and C. Also, show that (I + C(sI - A)-¹B)¹ = I-C(sI-A + BC)-¹B. By computing (A + BCD) (A¹-A¹B(DA¹B+C-¹)-¹DA¹) prove the matrix inversion lemma (A + BCD)¹ = A¹-A¹B (DA¯¹B + C¯¹)¹ DA¹ with nonsingulaar A and C. Also, show that (I + C(sI - A)-¹B)¹ = I-C(sI-A + BC)-¹B.
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The question is asking to prove the matrix inversion lemma which states that the inverse of a ... View the full answer
Related Book For
Elementary Linear Algebra with Applications
ISBN: 978-0471669593
9th edition
Authors: Howard Anton, Chris Rorres
Posted Date:
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