We have, A=⎣⎡147258369⎦⎤ ⇒A′=⎣⎡123456789⎦⎤
Now, A⋅A′=⎣⎡147258369⎦⎤⎣⎡123456789⎦⎤ =⎣⎡1+4+94+10+187+16+274+10+1816+25+3628+40+547+16+2728+40+5449+64+81⎦⎤
So, AA′=⎣⎡143250327712250122194⎦⎤(AA′)′=⎣⎡143250327712250122194⎦⎤