Question

What is the inverse of a matrix?

Answer 1

Define the inverse of a matrix.

A matrix is a square array in which elements are arranged in rows and columns.

Let $A,B$ the matrices and $I$ be the identity.

For any matrix $A\mathrm{and}B$, $I$ is defined such that $AI=A\mathrm{and}\mathrm{BI}=\mathrm{B}$

The inverse of a matrix:

If $AB=BA=I$ then matrices $A,B$ are inverse of each other.

$A^{-1}=\frac{1}{\left|A\right|}adj\left(A\right)$

Any matrix $A\mathrm{and}B$ are inverse of each other if $AB=BA=I$.