Mathematics · 2014
JEE Main · 11 April 2014, Shift 1 · Q64
Let A be a 3 × 3 matrix such that A [1, 2, 3; 0, 2, 3; 0, 1, 1] = [0, 0, 1; 1, 0, 0; 0, 1, 0] Then A^-1 is:
Let A be a $\displaystyle 3 \times 3$ matrix such that
$$\mathrm{A}\left[\begin{array}{lll}
1 & 2 & 3 \\
0 & 2 & 3 \\
0 & 1 & 1
\end{array}\right]=\left[\begin{array}{lll}
0 & 0 & 1 \\
1 & 0 & 0 \\
0 & 1 & 0
\end{array}\right]
$$
Then $\displaystyle \mathrm{A}^{-1}$ is :
Official answer
(1)
$\displaystyle \left[\begin{array}{lll}
3 & 1 & 2 \\
3 & 0 & 2 \\
1 & 0 & 1
\end{array}\right]$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.