If {\A}=\left[\begin{array}{cc}1 & 2 \ 1 & 1]\end{array} and {\B}=\left[\begin{array}{cc}0 & -1 \ 1 & 2]\end{array}, then what is {\B}^{-1} {\A}^{-1} equal to?

Correct Answer is : [−131−2]

\left[\begin{array}{cc}1 & -3 \ -1 & 2]\end{array}

\left[\begin{array}{cc}-1 & 3 \ 1 & -2]\end{array}

\left[\begin{array}{cc}-1 & 3 \ -1 & -2]\end{array}

\left[\begin{array}{cc}-1 & -3 \ 1 & -2]\end{array}

UPSC NDA I 2012 Mathematics Paper

Question : 67 of 120

Marks: +1, -0

If A=[

1	2
1	1

] and B=[

0	−1
1	2

], then what is B−1 A−1 equal to?

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1	−3
−1	2

−1	3
1	−2

−1	−3
1	−2

1	−1
−2	1