Mathematics · 2022
JEE Main · 27 July 2022, Shift 1 · Q28
Let S be the set containing all 3 × 3 matrices with entries from {-1,0,1}. The total number of matrices A ∈ S such that the sum of all the diagonal…
Let $\displaystyle S$ be the set containing all $\displaystyle 3 \times 3$ matrices with entries from $\displaystyle \{-1,0,1\}$. The total number of matrices $\displaystyle A \in S$ such that the sum of all the diagonal elements of $\displaystyle A^{\mathrm{T}} A$ is $\displaystyle 6$ is \_\_\_\_.
Official answer
5376
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.