# Function conj Compute the complex conjugate of a complex value. If `x = a+bi`, the complex conjugate of `x` is `a - bi`. For matrices, the function is evaluated element wise. ## Syntax ```js math.conj(x) ``` ### Parameters Parameter | Type | Description --------- | ---- | ----------- `x` | number | BigNumber | Complex | Array | Matrix | A complex number or array with complex numbers ### Returns Type | Description ---- | ----------- number | BigNumber | Complex | Array | Matrix | The complex conjugate of x ### Throws Type | Description ---- | ----------- ## Examples ```js math.conj(math.complex('2 + 3i')) // returns Complex 2 - 3i math.conj(math.complex('2 - 3i')) // returns Complex 2 + 3i math.conj(math.complex('-5.2i')) // returns Complex 5.2i ``` ## See also [re](re.md), [im](im.md), [arg](arg.md), [abs](abs.md)