For invertible matrices and of the same order

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

Problem

For invertible matrices AA and BB of the same order, evaluate ((A−1B)T)−1((A^{-1}B)^{T})^{-1}. (a) (BT)−1AT(B^{T})^{-1}A^{T} (b) AT(BT)−1A^{T}(B^{T})^{-1} (c) BT(AT)−1B^{T}(A^{T})^{-1} (d) (AT)−1BT(A^{T})^{-1}B^{T}

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