Definition:Inverse Matrix/Right

This page is about Right Inverse Matrix. For other uses, see Right Inverse.

Definition

Let $m, n \in \Z_{>0}$ be a (strictly) positive integer.

Let $\mathbf A = \sqbrk a_{m n}$ be a matrix of order $m \times n$.

Let $\mathbf B = \sqbrk b_{n m}$ be a matrix of order $n \times m$ such that:

$\mathbf A \mathbf B = \mathbf I_m$

where $\mathbf I_m$ denotes the unit matrix of order $m$.

Then $\mathbf B$ is known as a right inverse (matrix) of $\mathbf A$.

Also see

• Definition:Left Inverse Matrix

Sources

• 1998: Richard Kaye and Robert Wilson: Linear Algebra ... (previous) ... (next): Part $\text I$: Matrices and vector spaces: $1$ Matrices: $1.3$ The inverse of a matrix