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Complex Conjugate

Basic definition

The complex conjugate of a complex number is the number obtained by flipping the sign of its imaginary part.

Detailed definition

The complex conjugate of a complex number z congruent a + b i is defined to be
z^_ congruent a - b i.
The conjugate matrix of a matrix A = (a_(i j)) is the matrix obtained by replacing each element a_(i j) with its complex conjugate, A^_ = (a^__(i j)).
The complex conjugate is implemented in the Wolfram Language as Conjugate[z].

Related Wolfram Language symbol

Conjugate

Educational grade level

high school level (California Algebra II standard)

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