Definition:Matrix/Row

Definition
Let $\mathbf A$ be an $m \times n$ matrix.

For each $i \in \closedint 1 m$, the rows of $\mathbf A$ are the ordered $n$-tuples:
 * $r_i = \tuple {a_{i 1}, a_{i 2}, \ldots, a_{i n} }$

where $r_i$ is called the $i$th row of $\mathbf A$.

A row of an $m \times n$ matrix can also be treated as a $1 \times n$ row matrix in its own right:


 * $r_i = \begin{bmatrix}

a_{i 1} & a_{i 2} & \cdots & a_{i n} \end{bmatrix}$ for $i = 1, 2, \ldots, m$.

Also see

 * Definition:Column of Matrix