Definition:Left Null Space

Definition
Let $\mathbf A$ be a matrix.

Let $\mathbf A^{T}$ be the transpose of $\mathbf A$.

Let the null space $\operatorname{N}\left({\mathbf A^T}\right)$ be defined.

The left null space $\mathbf A$ is defined as the null space of $\mathbf A^T$.

Also known as
The left null space of $\mathbf{A}$ is also known as the left nullspace of $\mathbf{A}$.

Also see

 * Row Space
 * Characterization of Left Null Space