If and are invertible matrices of the same order

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

If AA and BB are invertible matrices of the same order, then (B−1AT)−1(B^{-1}A^{T})^{-1} equals (a) B(A−1)TB(A^{-1})^{T} (b) A−1BA^{-1}B (c) (A−1)TB(A^{-1})^{T} B (d) BATB A^{T}

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