Excel IMPRODUCT function

The IMPRODUCT function calculates the product of one or more complex numbers in the form x + yi or x + yj.

Note: A complex number is composed of a real coefficient and an imaginary coefficient. You can apply the COMPLEX function to convert real and imaginary coefficients to a complex number of the form x + yi or x + yj.

Syntax

IMPRODUCT(inumber1, [inumber2], ...)

Arguments

• inumber1 (required): The first complex number used in the calculation.
• inumber2, ... (optional): The second and more complex numbers used in the calculation.

Remarks

1. There can be up to 255 arguments at a time.
2. The argument can be supplied as any of the following:
-- A real number whose imaginary part is 0, e.g., 1 is a complex number 1+0i; Or a purely imaginary number whose real part is 0, e.g., i is a complex number 0 + 1i;
-- A cell reference that refers to a complex number;
-- A complex number enclosed in double quotation marks.
3. The #VALUE! error occurs if any of the supplied arguments is a logical value.
4. The #NUM! error occurs if any of the supplied arguments cannot be recognized as a complex number.
5. The equation for the IMPRODUCT function is as follows:

Return value

It returns a complex number as text.

Example

In the following table, there are two lists of complex numbers. To get the product of two complex numbers in each row, you can apply the IMPRODUCT function as follows to get it done.

Select a cell, such as D6 in this case, enter the formula below and press the Enter key to get the product of two complex numbers in the first row. Select this result cell and then drag its AutoFill Handle down to get the products of other rows.

=IMPRODUCT(B6,C6)

Notes:

1) The complex numbers can be directly entered into the formula and need to be enclosed in double quotation marks. So, the formula in D6 can be changed to:

=IMPRODUCT("4+2i","1-i")

2) The IMPRODUCT function accepts only lowercase “i” and “j”.

Related Functions

Excel COMPLEX function
The COMPLEX function converts real and imaginary coefficients to a complex number of the form x + yi or x + yj.

Excel IMABS function
The IMABS function gets the absolute value of a complex number in the form x + yi or x + yj.

Excel imaginary function
The IMAGINARY function gets the imaginary coefficient of a complex number in the form x + yi or x + yj.

Excel impower function
The IMPOWER function returns a complex number raised to a given power.

Excel BITAND function
The IMREAL function returns the real coefficient of a complex number in the form x + yi or x + yj.

Excel IMSUB function
The IMSUB function returns the difference of two complex numbers in x + yi or x + yj text format.

Excel IMSUM function
The IMSUM function returns the sum of two or more complex numbers in x + yi or x + yj text format.

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