Definition:Inverse Matrix/Right

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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:

$\mathbf A \mathbf B = I_m$

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


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


Also see


Sources