Mathematics · 2024
JEE Main · 4 April 2024, Shift 1 · Q22
Let A be a 3 × 3 matrix of non-negative real elements such that A [1; 1; 1] =3 [1; 1; 1]. Then the maximum value of det ( A ) is ____.
Let A be a $\displaystyle 3 \times 3$ matrix of non-negative real elements such that $\displaystyle \mathrm{A}\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]=3\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]$.
Then the maximum value of $\displaystyle \operatorname{det}(\mathrm{A})$ is $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
27
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.