let A,B be invertible matrix
(AB^-1 - I)^-1 = 4B^TA^-1
Find A inverse, which should have an expression in terms of B
Solution-
Consider the matrix Expression
Post Multiplying [AB-1 - I] both sides to get
(Using MM-1 = I)
(Using AA-1 = I)
Diving both sides by 4 to get
(Using MM-1 =I)
Hence,
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