If A= [ array cc 4 i-6 & 10 i 14 i & 6+4 i array ] and k= 1 2 i^ where i= -1 , then kA is equal to

Step-by-step solution

A= [ array cc 4 i-6 & 10 i 14 i & 6+4 i array ] and K= 1 2 i K = 1 2 i = i 2 i ( i ) = i 2 i ^2 = - i 2 . KA = - i 2 [ array cc 4 i -6 & 10 i 14 i & 6+4 i array ]= [ array cc (4 i-6) ( -i 2 ) & 10 i ( -i 2 ) 14 i ( -i 2 ) & (6+4 i) ( -i 2 ) array ]= [ array cc -2 i ^2+3 i & -5 i ^2 -7 i ^2 & -3 i -2 i ^2 array ]= [ array cc 2+3 i & 5 7 & 2-3 i array ]