Given A=[−83−197]\displaystyle {A}={\left[\begin{array}{cc} -{8}&{3}\\-{19}&{7}\end{array}\right]}A=[−8−1937] and B=[7−3−19−8]\displaystyle {B}={\left[\begin{array}{cc} {7}&-{3}\\-{19}&-{8}\end{array}\right]}B=[7−19−3−8] , use matrix multiplication to determine whether A\displaystyle {A}A and B\displaystyle {B}B are inverses.
AB=\displaystyle {A}{B}=AB=
BA=\displaystyle {B}{A}=BA=
Are A\displaystyle {A}A and B\displaystyle {B}B inverses?
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