IMPRODUCTReturns the result of multiplying a series of complex numbers together.
Sample Usage
IMPRODUCT(A2:A100)
IMPRODUCT(“1+2i”,3,”4i”)
IMPRODUCT(“1+2i”,”3+5i”,A2:A50)
Syntax
IMPRODUCT(factor1, [factor2, …])
factor1 – The first complex number or range to calculate for the product.
factor2, … – [ OPTIONAL ] – More complex numbers to multiply by.
Notes
The product of two complex numbers is defined as follows:
(a+bi)(c+di) = (ac-bd) + (ad+bc)i
You can multiply complex numbers only if they have the same suffix (i or j). For example, you can’t do IMPRODUCT(“4+3i”, “1+2j”).
See also
COMPLEX: The COMPLEX function creates a complex number, given real and imaginary coefficients.
IMREAL: Returns the real coefficient of a complex number.
IMAGINARY: Returns the imaginary coefficient of a complex number.
IMDIV: Returns one complex number divided by another.
IMSUM: Returns the sum of a series of complex numbers or cells or both.
Examples
1
A
B
2
Formula
Result
3
=IMPRODUCT(COMPLEX(3, 4), 2)
6+8i
4
=IMPRODUCT(“3+4i”, “2i”, “2i”)
-12-16i