# ApCoCoA-1:LinAlg.Det

From ApCoCoAWiki

## LinAlg.Det

Computes the determinant of a matrix.

### Syntax

LinAlg.Det(M:MAT):RAT, INT or ZMOD

### Description

*Please note:* The function(s) explained on this page is/are using the *ApCoCoAServer*. You will have to start the ApCoCoAServer in order to use it/them.

This function returns the determinant of the square matrix `M` computed by the ApCoCoAServer using LinBox functions. Please note that in contrary to the built in CoCoA `Det` function the entries of `M` are only allowed to be of type `RAT`, `INT` or `ZMOD`. The resulting type depends on the types of the entries of the matrix.

@param

*M*A square matrix whose components are either of type`INT`,`RAT`or`ZMOD`.@return The determinant of

`A`.

#### Example

Use R ::= QQ[x]; LinAlg.Det(Mat([[1,2],[0,5]])); ------------------------------- 5 -------------------------------

#### Example

Use ZZ[x]; LinAlg.Det(Mat([[1,2],[1,4]])); ------------------------------- 2 -------------------------------