Given A=[−14−13]\displaystyle {A}={\left[\begin{array}{cc} -{1}&{4}\\-{1}&{3}\end{array}\right]}A=[−1−143] and B=[3−41−1]\displaystyle {B}={\left[\begin{array}{cc} {3}&-{4}\\{1}&-{1}\end{array}\right]}B=[31−4−1] , 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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