Answer
inverse
Work Step by Step
By definition,
Let $A$ be a square $n$ by $n$ matrix.
If there exists an $n$ by $n$ matrix $A^{-1}$ (read as "$A$ inverse" ) for which
$AA^{-1}=A^{-1}A=I_{n}$
then $A^{-1}$ is called the inverse of the matrix $A$.
---
A being nonsingular means that it has an inverse.
Here, $\mathrm{B}=A^{-1},$ the inverse of A.
