Complex numbers/Modulus/Definition
< Complex numbers < Modulus
Modulus of a complex number
For a
complex number
z
=
a
+
b
i
,
{\displaystyle {}z=a+b{\mathrm {i} }\,,}
the
modulus
is defined by
|
z
|
=
a
2
+
b
2
.
{\displaystyle {}\vert {z}\vert ={\sqrt {a^{2}+b^{2}}}\,.}
