Given A=[1−25−9]\displaystyle {A}={\left[\begin{array}{cc} {1}&-{2}\\{5}&-{9}\end{array}\right]}A=[15−2−9] and B=[−92−51]\displaystyle {B}={\left[\begin{array}{cc} -{9}&{2}\\-{5}&{1}\end{array}\right]}B=[−9−521] , 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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