If A= bmatrix x & y & z y & z & x z & x & y bmatrix where x, y, z are integers, is an orthogonal matrix, then what is A^2 equal to?

NDA 2025 Mathematics question

where are integers, is an orthogonal matrix, then what is equal to?

Answer: (B)

The given matrix is symmetric: interchanging rows and columns leaves it unchanged, so . Since

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Question ID VK-030041