Given A=[−5138−21]\displaystyle {A}={\left[\begin{array}{cc} -{5}&{13}\\{8}&-{21}\end{array}\right]}A=[−5813−21] and B=[21−13−8−5]\displaystyle {B}={\left[\begin{array}{cc} {21}&-{13}\\-{8}&-{5}\end{array}\right]}B=[21−8−13−5] , 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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