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Engineering function
IMCONJUGATE
Returns the complex conjugate of a complex number.
Rarely usedDifficulty 1450 · AdvancedUsage rank #478 of 520
When to use it
The complex conjugate: the imaginary part with its sign flipped.
The shape of it
- Syntax
=IMCONJUGATE(inumber)
Worked examples
Simple
=IMCONJUGATE("3+4i") → 3-4i
Sign flipped.
j suffix
=IMCONJUGATE("2-5j") → 2+5j
With a j suffix.
Real
=IMCONJUGATE("5") → 5
A real number is its own conjugate.
Worth knowing
- A number times its conjugate is the squared modulus, a real number.
- Used to divide complex numbers by hand.
- Preserves the suffix.
Where it goes wrong
- #VALUE! for invalid text.
- Result is text.
Related
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