JEE Main 2022 Mathematics question
Let S be the set containing all matrices with entries from {−1, 0, 1}. The total number of matrices A S such that the sum of all the diagonal elements of AᵀA is 6 is .
Answer: 5376
Solution
The sum of the diagonal elements of AᵀA is the sum of the squares of all the entries of A. Each entry is −1, 0 or 1, so exactly six of the
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