
The `IMCONJUGATE` function in Excel is used to find the complex conjugate of a given complex number. The complex conjugate is a complex number with an equal real part and an imaginary part that is the negation of the imaginary part of the original complex number.
Here’s how you can use the `IMCONJUGATE` function:
Syntax
IMCONJUGATE(inumber)
- inumber: This is the complex number for which you want to find the conjugate. It can be a text representation of a complex number (e.g., “3+4i”), a cell reference containing a complex number, or an output from another function that returns a complex number.
Steps to Use IMCONJUGATE
=IMCONJUGATE("3+4i")
=IMCONJUGATE(A1)
- Enter The Complex Number: First, ensure that the complex number you want to find the conjugate of is either in a cell or typed directly into the formula. The complex number should be in the form `x+yi` or `x-yi`, where x and y are numbers.
- Formula Entry: Click on the cell where you want the result to appear.
- Enter the `IMCONJUGATE` Function:
- If you’re entering a complex number directly in the formula, type:
- If the complex number is in a cell, say A1, type:
- Press Enter: After typing in the formula, press Enter. The cell will display the complex conjugate of the given complex number.
Example
Suppose you have a complex number in cell A1 that is “5+7i”. To find its conjugate:
=IMCONJUGATE(A1)
- Click on another cell (e.g., B1) and enter the following formula:
This will display “5-7i” in cell B1.
Important Notes
- Ensure the complex number is correctly formatted as text or as an output from functions like `COMPLEX`.
- `IMCONJUGATE` is available in Excel 2007 and later versions.
This function is particularly useful in fields such as engineering and physics, where complex numbers frequently arise in calculations.