mathjs/docs/reference/functions/pinv.md

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with dif

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# Function pinv

Calculate the Moore–Penrose inverse of a matrix.


## Syntax

```js
math.pinv(x)
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`x` | number &#124; Complex &#124; Array &#124; Matrix | Matrix to be inversed

### Returns

Type | Description
---- | -----------
number &#124; Complex &#124; Array &#124; Matrix | The inverse of `x`.


### Throws

Type | Description
---- | -----------


## Examples

```js
math.pinv([[1, 2], [3, 4]])          // returns [[-2, 1], [1.5, -0.5]]
math.pinv([[1, 0], [0, 1], [0, 1]])  // returns [[1, 0, 0], [0, 0.5, 0.5]]
math.pinv(4)                         // returns 0.25
```


## See also

[inv](inv.md)