Question

let A,B be invertible matrix (AB^-1 - I)^-1 = 4B^TA^-1 Find A inverse, which should have...

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

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Answer #1

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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