mathjs/docs/reference/functions/lsolve.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 lsolve

Finds one solution of a linear equation system by forwards substitution. Matrix must be a lower triangular matrix. Throws an error if there's no solution.

`L * x = b`


## Syntax

```js
math.lsolve(L, b)
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`L` | Matrix, Array | A N x N matrix or array (L)
`b` | Matrix, Array | A column vector with the b values

### Returns

Type | Description
---- | -----------
DenseMatrix &#124; Array | A column vector with the linear system solution (x)


## Examples

```js
const a = [[-2, 3], [2, 1]]
const b = [11, 9]
const x = lsolve(a, b)  // [[-5.5], [20]]
```


## See also

[lsolveAll](lsolveAll.md),
[lup](lup.md),
[slu](slu.md),
[usolve](usolve.md),
[lusolve](lusolve.md)