The transpose of a row matrix is

The correct answer is Option (4) → A column matrix

A row matrix has one row, so its order is 1 × n. The transpose interchanges rows and columns, so its order becomes n × 1: a single column. For example,

    \( \displaystyle \begin{bmatrix}1 & 2 & 3\end{bmatrix}' = \begin{bmatrix}1\\2\\3\end{bmatrix} \)

So the transpose of a row matrix is a column matrix.