Find the transpose of the matrix \( A = \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix} \)

Step 1 ：The transpose of a matrix is obtained by interchanging its rows into columns or columns into rows. So, for the given matrix \( A \), transpose of \( A \) denoted by \( A^T \) is

Step 2 ：\( A^T = \begin{bmatrix} 1 & 4 & 7 \\ 2 & 5 & 8 \\ 3 & 6 & 9 \end{bmatrix} \)