Let =- 1 2 + i 3 2 , i = -1 , then the value of | array ccc 1 & 1 & 1 1 & -1- ^2 & ^2 1 & ^2 & ^4 array | is

Step-by-step solution

aligned & ^2= (- 1 2 )^2+ ( i 3 2 )^2-2 i ( 3 4 )=- 1 2 - 3 2 i & ^3= 1 4 + 3 4 =1 & 1+ + ^2=0 aligned aligned & | array ccc 1 & 1 & 1 1 & -1- ^2 & ^2 1 & ^2 & ^4 array |= | array ccc 1 & 1 & 1 1 & & ^2 1 & ^2 & array | & =1 ( ^2- ^4 )-1 ( - ^2 )+1 ( ^2- ) & = ^2- ^4- + ^2+ ^2- & =- ^4+3 ^2-2 & =- +3 ^2-2 & =3 ^2-3 & =3 ( -1) aligned