Vault Of Euclid

Finding the Complex Conjugate

Vector spaces warmup

Find the complex conjugate of each of the following:

[(a)] \(6+4i\), \(7-5i\), \(4+i\), \(-3- i\)
[(b)] \(6\), \(-3\), \(4i\), \(-9i\)

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What you need first

Basic arithmetic
Understanding of the standard form of a complex number

What this problem tests

Tests the definition of the complex conjugate and its application to numbers with zero real or zero imaginary parts.

This is a foundational exercise in complex arithmetic, often encountered at the beginning of a linear algebra or precalculus course.

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