If \(A=\begin{bmatrix}1&2&3\\4&5&6\end{bmatrix}\), what is the order of \(A^T\)?

Correct answer: \((3\times2)\)

Matrix \(A\) has 2 rows and 3 columns, so its order is \((2\times3)\). The transpose swaps rows and columns, hence \(A^T\) has order \((3\times2)\). The option \((2\times3)\) refers to the original matrix, not the transpose. Exam tip: read every matrix as "rows × columns" and flip them for the transpose.