For the matrices A and B, verify that (AB)' =B'A', where
A=⎡⎢⎣012⎤⎥⎦, B =[1 5 7]
Here,A=⎡⎢⎣012⎤⎥⎦, B =[1 5 7]=⎡⎢⎣00015721014⎤⎥⎦=⎡⎢⎣01204100714⎤⎥⎦.......(i)
Also, B′A′=[157]′⎡⎢⎣012⎤⎥⎦=⎡⎢⎣157⎤⎥⎦[012]=⎡⎢⎣01205100714⎤⎥⎦.....(ii)
From Eqs. (i) and (ii), it is verified that (AB)'=B'A'.