Solve for ABCDEFGH in the following 66jAjB 4j3jCjD j624jEjF

 Solve for A,B,C,D,E,F,G,H in the following:  (6*6j)=A+jB; (4j*3j)=C+jD;   j6(2+4j)=E+jF;   (8+9j)(5+9j)=G+jH. 

Solution

given 6*6j = A + j B

36j =A + j B

0 +j(36) = A + j B

comparing real & imaginary we get A = 0 and B = 36

second equation 4j*4j = C + j D

-16 = C + j D (since j²=-1)

-16 +j(0) = C +j D

comparing Real and Imaginary C=-16 and D = 0

third eqution j6(2+4j) = E +j F

12j -24 = E + j F ( since multiplying on RHS)

comparing E = -24 and F =12

from fourth equation (8 +9j)(5+9j) =G +j H

40+72j+45j-81=G+jH

-41 + j117 =G + j H

comparing G= - 41 and H = 117

i.e A = 0 B =36 C =-16 D = 0 E=-24 F= 12 G= -41 H=117