Let Upper A equals left bracket Start 2 By 2 Matrix 1st Row 1st Column negative 2 2nd Column 4 2nd Row 1st Column 1 2nd Column 3 EndMatrix right bracketA=

−2 4
1 3
, and Upper B equals left bracket Start 2 By 2 Matrix 1st Row 1st Column negative 2 2nd Column 1 2nd Row 1st Column 3 2nd Column 7 EndMatrix right bracketB=

−2 1
3 7
.a. Find

ABAB,

if possible. b. Find

BABA,

if possible.

c. Are the answers in parts a and b the same?

d. In general, for matrices A and B such that AB and BA both exist, does AB always equal BA?

a. Find

ABAB,