The IMPRODUCT function in Google Sheets is a powerful tool designed for working with complex numbers. It effectively multiplies a series of complex numbers and returns the resulting complex number, simplifying numerous mathematical problems related to complex calculations. This function is particularly useful for engineers, scientists, and financial analysts who require complex number operations in their datasets.

Syntax

IMPRODUCT(value1, [value2, ...])

• value1: The first complex number or range of numbers to multiply.
• value2: (Optional) Additional complex numbers or ranges of numbers to multiply.

Example #1

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

This function multiplies the two complex numbers 2 + 3i and 4 + 5i, resulting in -7 + 22i as the output.

Example #2

=IMPRODUCT(A1:A3)

If A1 contains 1+2i, A2 contains 3+4i, and A3 contains 5+6i, this function calculates their product, yielding -91 + 82i.

Example #3

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

This instance multiplies the real number 2 with the complex number 3 + 4i, resulting in 6 + 8i as the output.

Error handling

• VALUE!: This error occurs when at least one of the provided arguments is not a valid complex number.
• NUM!: This appears if the operation results in a number that exceeds the spreadsheet’s numeric limits.

Conclusion

The IMPRODUCT function is essential for anyone dealing with complex numbers within Google Sheets. By simplifying the multiplication of multiple complex values, it enhances productivity and accuracy in mathematical calculations. Understanding how to effectively utilize this function can significantly improve analyses and data handling in various fields.