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If , where is skew-symmetric matrix and is symmetric matrix. Find .
If $\begin{pmatrix} 3 & 5 \\\\ 7 & 9 \end{pmatrix} = X + Y$, where $X$ is skew-symmetric matrix and $Y$ is symmetric matrix. Find $|X|$.
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From ISC 2023 Specimen Mathematics Paper 1, question 1(xii).