# ApCoCoA-1:LinBox.Det

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## LinBox.Det

Computes the determinant of a matrix.

### Syntax

LinBox.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]; LinBox.Det(Mat([[1,2],[0,5]])); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- 5 -------------------------------

#### Example

Use ZZ[x]; LinBox.Det(Mat([[1,2],[1,4]])); -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong ------------------------------- -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong -- CoCoAServer: computing Cpu Time = 0 ------------------------------- 2 -------------------------------