How to use IMPRODUCT function in Excel?

The `IMPRODUCT` function in Excel is used to multiply complex numbers. Complex numbers have both real and imaginary parts and are expressed in the form `a + bi`, where `a` is the real part and `b` is the imaginary part. The `IMPRODUCT` function can handle multiple complex numbers as its arguments and returns the product as a complex number.

Syntax

IMPRODUCT(number1, [number2], ...)

number1, number2, …: These are the complex numbers you want to multiply. These can be expressed as text in the form “a+bi” or “a+bj”, or as results of formulas or other functions that return complex numbers.

Example Usage

Basic Example:

Let’s say you want to multiply two complex numbers `3 + 4i` and `1 – 2i`.

   =IMPRODUCT("3+4i", "1-2i")

This will return `11 + 2i` which is the product of the two complex numbers.

Using Cell References:

Assume cell A1 contains `3+4i` and cell A2 contains `1-2i`.

   =IMPRODUCT(A1, A2)

This will also return `11 + 2i`.

Multiple Numbers:

You can also multiply more than two complex numbers. For instance, multiplying `3 + 4i`, `1 – 2i`, and `5 + i`:

   =IMPRODUCT("3+4i", "1-2i", "5+i")

Tips

Ensure that the complex numbers are correctly formatted as strings using either `i` or `j` as the imaginary unit.
You can also use other Excel functions to generate complex numbers, like `COMPLEX`, and use them within `IMPRODUCT`.
If you enter real numbers (without an imaginary part), Excel treats them as complex numbers with an imaginary part of `0`.

By using the `IMPRODUCT` function, you can perform complex number multiplication smoothly, especially useful in engineering and advanced mathematical computations where complex numbers are common.

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