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Given A=[−5138−21]\displaystyle {A}={\left[\begin{array}{cc} -{5}&{13}\\{8}&-{21}\end{array}\right]} and B=[21−13−8−5]\displaystyle {B}={\left[\begin{array}{cc} {21}&-{13}\\-{8}&-{5}\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?
          

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