Definition:Left Null Space

Definition
Let $\mathbf A$ be a matrix in the matrix space $\mathbf M_{m,n}\left({\R}\right)$.

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

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