Given A=[943415]\displaystyle {A}={\left[\begin{array}{cc} {9}&{4}\\-{34}&-{15}\end{array}\right]} and B=[154349]\displaystyle {B}={\left[\begin{array}{cc} -{15}&{4}\\{34}&{9}\end{array}\right]} , use matrix multiplication to determine whether A\displaystyle {A} and B\displaystyle {B}  are inverses.

 

AB=\displaystyle {A}{B}= 

 
 

BA=\displaystyle {B}{A}= 

 
 

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