18. Let z = a + bi represent a general complex number. As noted in the lesson, the conjugate of z, abbreviated conj(z) or conj(a
+ bi) is the complex number a-bi. Also, the modulus of z, modulus(z) is the "size" of z, or √(a2 + b2). Which of the following is true for all complex numbers? A) All of the following
B) z*conj(z) = [modulus(z)]2
C) z + conj(z) = 2a
D) z - conj(z) = 2bi
E) None of the above
19. Using the definition of "size" of z from problem #18, which of the following is largest?
A) 3i
B) -7
C) 4
D) -2i
E) 4 + 4i
F) None of the above
