Definition:Left Null Space
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Definition
Let $R$ be a ring.
Let $\mathbf A$ be a matrix in the matrix space $\map {\MM_{m, n} } R$.
Let $\mathbf A^\intercal$ be the transpose of $\mathbf A$.
The left null space $\mathbf A$ is defined as the null space of $\mathbf A^\intercal$.
Also known as
The left null space of $\mathbf A$ is also known as the left nullspace of $\mathbf A$.
Also see
Sources
- For a video presentation of the contents of this page, visit the Khan Academy.