To solve this problem, we need to understand the properties of matrix transposition. The transpose of a transpose of a matrix returns the original matrix. Therefore, \((A^T)^T = A\).
Step 1: Understanding Matrix Transposition
The problem involves the matrix \( A \) given by:
\[
A = \begin{bmatrix} 9 & 2 & 6 \\ -4 & -5 & -6 \end{bmatrix}
\]
Step 2: Applying Transposition Properties
The property of matrix transposition states that the transpose of the transpose of a matrix returns the original matrix:
\[
(A^T)^T = A
\]
Step 3: Result Verification
Given the property, we verify that:
\[
(A^T)^T = \begin{bmatrix} 9 & 2 & 6 \\ -4 & -5 & -6 \end{bmatrix}
\]