Prove the given condition — task. Mathematics State Board, Class 10.

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Prove that \((A^T)^T\) \(=\) \(A\), if \(A\) \(=\) \(\begin{bmatrix}
9 & 5 & 8\\
9 & 3 & 9\\
6 & 5 & 6
\end{bmatrix}\).

\(A^T\) \(=\)

[\begin{array}{l} i & i & i \\ i & i & i \\ i & i & i \end{array}]

\((A^T)^T\) \(=\)

[\begin{array}{l} i & i & i \\ i & i & i \\ i & i & i \end{array}]

Thus, \((A^T)^T\) \(A\).

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11. Prove the given condition