How to use the IMSUM Function in Excel

In this article, we will learn about how to use the IMSUM function in Excel.

COMPLEX number (inumber) in excel derived for mathematical number having real and imaginary coefficients. In mathematics we call it the coefficient of i or j (iota).

i = (-1)^1/2

Square root of negative number is not possible, so for calculation purpose, -1is named as imaginary and call it iota (i or j). For calculation of some term like shown below.

A = 2 + (-25)^1/2

A = 2 + (-1 * 25)^1/2

A = 2 + (-1 * 5 * 5)^1/2

A = 2 + 5 * (-1)^1/2

X + iY = 2 + 5i
This here equation is a Complex number (inumber) having 2 different parts called real part & imaginary part
The coefficient of iota (i) which is 5 is called as imaginary part and the other part 2 is called the real part of the complex number.
Complex number (inumber) is written in the X + iY format.
Complex SUM of a complex number ( X1 + iY1 ) & ( X2 + iY2 ) is given by

( X1 + iY1 ) + ( X2 + iY2 ) = ( X1 + X2 ) + i ( Y1 + Y2)
When computing with n numbers of complex numbers, is given by:

( X1 + iY1 ) + ( X2 + iY2 ) + ….+ ( Xn + iYn )= ( X1 + X2 + … + Xn ) + i ( Y1 + Y2 + …+ Yn )

All the real & Imaginary parts adds up separately.

Here X & Y are the coefficients of the real & imaginary part of the complex number (inumber).

The IMSUM function returns the complex SUM of the complex number (inumber) having both real & imaginary part.
Syntax:

=IMSUM (inumber1 , [inumber2], ...)

inumber : complex number having both real & imaginary

Let’s understand this function using it in an example.
004
Here we have values where we need to get the complex SUM of the input complex number (inumber)

Use the formula:

=IMSUM (A2:C2)

A2:C2 : complex numbers (inumber) provided as array.
005
As you can see the IMSUM function returns the SUM of the three values in the array.
5 + i + 4 - i + 20 = 29
The values must be in valid complex number format.
Now copy the formula to the other remaining cells using Ctrl + D shortcut key.
006
As you can see the IMSUM function formula giving results just fine.

Note :

1. The formula returns the #NUM! error if the complex number doesn’t have lower case i or j (iota).
2. The formula returns the #VALUE! Error if the complex number doesn’t have correct complex number format.

Hope you understood how to use IMSUM function and referring cell in Excel. Explore more articles on Excel mathematical functions here. Please feel free to state your query or feedback for the above article.

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