# det

Matrix determinant

## Syntax

## Description

## Examples

## Input Arguments

## Limitations

Avoid using `det`

to examine if a matrix is
singular because of the following limitations. Use `cond`

or `rcond`

instead.

Limitation | Result |
---|---|

The magnitude of the determinant is typically unrelated to the condition number of a matrix. | The determinant of a matrix can be arbitrarily large or small without changing the condition number. |

| The determinant calculation is sometimes numerically
unstable. For example, |

## Algorithms

`det`

computes the determinant from the triangular
factors obtained by Gaussian elimination with the `lu`

function.

[L,U] = lu(X) s = det(L) % This is always +1 or -1 det(X) = s*prod(diag(U))

## Extended Capabilities

**Introduced before R2006a**