# Definition:Matrix/Row

(Redirected from Definition:Row of Matrix)

## Definition

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

For each $i \in \left[{1 \,.\,.\, m}\right]$, the rows of $\mathbf A$ are the ordered $n$-tuples:

$r_i = \left({a_{i 1}, a_{i 2}, \ldots, a_{i n}}\right)$

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 $i = 1, 2, \ldots, m$.