Let and for two invertible matrices and

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

Problem

Let

A^{-1}=\begin{pmatrix}1 & -1\\ 0 & 1\end{pmatrix}

and

B^{-1}=\begin{pmatrix}2 & 0\\ 1 & 1\end{pmatrix}

for two invertible

2\times2

matrices

A

and

B

. Find

(BA^{T})^{-1}

. (a)

\begin{pmatrix}2 & 0\\ -1 & 2\end{pmatrix}

(b)

\begin{pmatrix}2 & 0\\ -1 & 1\end{pmatrix}

(c)

\begin{pmatrix}2 & 0\\ 0 & 1\end{pmatrix}

(d)

\begin{pmatrix}2 & -2\\ 1 & 0\end{pmatrix}