Given $\displaystyle {A}={\left[\begin{array}{cc} -{14}&-{3}\\{47}&{10}\end{array}\right]}$ and $\displaystyle {B}={\left[\begin{array}{cc} {10}&{3}\\{47}&-{14}\end{array}\right]}$ , use matrix multiplication to determine whether $\displaystyle {A}$ and $\displaystyle {B}$  are inverses.

 

$\displaystyle {A}{B}=$ 

$\displaystyle {B}{A}=$ 

Are $\displaystyle {A}$ and $\displaystyle {B}$ inverses?