Row vector

In linear algebra, a row vector is a 1 × n matrix, i.e. a matrix consisting of a single row.

<math>\mathbf x = \begin{bmatrix} x_1 & x_2 & \cdots & x_n \end{bmatrix}<math>

The transpose of a row vector is a column vector.

The set of all row vectors forms a vector space which is the dual space to the set of all column vectors. The action of a row vector on a column vector is just matrix multiplication.