Definition:Row Space

Definition
Let $\mathbf A$ be a matrix.

Let $\mathbf A^{T}$ be the transpose of $\mathbf A$. Let the column space $\operatorname{C}\left({\mathbf A^T}\right)$ be defined.

The row space of $\mathbf A$ is defined as the column space of $\mathbf A^T$.