PLEASE HELP
for the complex numbers z = a+bi and w = c+di,
z > w if what is true?
a) sqrt (a^2 +b^2) > sqrt(c^2 +d^2) where sqrt
represents the square root
b) a> c and b>d
c) none of these
d) (a+b) > (c + d)
Since complex numbers are not ordered, i.e., no
complex number is considered larger or smaller
than any other, then
"z > w"
has no meaning, and thus (c) would be the only answer.
However if the problem had absolute value bars around
the z and the w, like this:
|z| > |w|
and you just didn't type them, then the answer is (a)
because their absolute values (sometimes called their
"moduli", singular "modulus") are real numbers and real
numbers are ordered.
Edwin
