Definition:Left Null Space

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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