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Previous Year Question (PYQs)
2
If the matrix $A$ is both symmetric and skew-symmetric, then:
Solution
If $A$ is symmetric $\Rightarrow A^T = A$.
If $A$ is skew-symmetric $\Rightarrow A^T = -A$.
Both can hold only when $A = 0$.
Hence, $A$ is a null matrix.
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