JEE Main 2024 — Matrices Question with Solution
JEE Main 2024 (04 Apr Shift 1)
Question
Let be a matrix of non-negative real elements such that . Then the maximum value of is ______
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Show full solutionCorrect answer: 27
Correct answer
27
Step-by-step explanation
...(1)
...(2)
...(3)
Now,
$\begin{aligned}
& |A|=\left(a_1 b_2 c_3+a_2 b_3 c_1+a_3 b_1 c_2\right) \\
& -\left(a_3 b_2 c_1+a_2 b_1 c_3+a_1 b_3 c_2\right)
\end{aligned}$
From above in formation, clearly , when
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This is a previous-year question from JEE Main 2024, covering the Matrices chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.