If K= ( 18 ) ( 5 18 ) ( 7 18 ) , then what is the value of K ?

Step-by-step solution

K = ( 18 ) ( 5 18 ) ( 7 18 ) We know, 2 ~A ~B = ( A - B )- ( A + B ) aligned & K = 1 2 18 [2 5 18 7 18 ] & = 1 2 18 [ 2 18 - 12 18 ] & = 1 2 1 2 [2 18 2 18 -2 18 2 3 ] & = 1 4 [ ( 3 18 )+ ( - 18 )-2 18 ( - 3 ) ] & = 1 4 [ 6 - 18 +2 18 3 ] & = 1 4 [ 6 - 18 +2 18 1 2 ] & = 1 4 6 = 1 4 1 2 = 1 8 aligned