mathjs/docs/reference/functions/conj.md

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser and offers an integrated solution to work with numbers, big numbers, complex numbers, units, and matrices.

# 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 | Boolean | null |  A complex number or array with complex numbers

### Returns

Type | Description
---- | -----------
Number | BigNumber | Complex | Array | Matrix |  The complex conjugate of x


## 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)


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