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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