# Difference between revisions of "ApCoCoA-1:BB.GenMultMat"

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## Latest revision as of 09:40, 7 October 2020

This article is about a function from ApCoCoA-1. |

## BB.GenMultMat

Computes a generic multiplication matrix.

### Syntax

BB.GenMultMat(I:INT,OO:LIST):MAT

### Description

Computes the generic multiplication matrix for the `I`-th indeterminate with respect to an order ideal. The second element of `OO` must be a non-constant polynomial. The output is a matrix of size Len(OO) x Len(OO) over the ring `BBS=K[c_{ij}]`.

@param

*I*An integer which specifies the indeterminate for which the generic multiplication matrix will be computed.@param

*OO*A list of terms representing an order ideal.@return The generic multiplication matrix.

#### Example

Use QQ[x, y, z], DegRevLex; BB.GenMultMat(1, [1, x, y, z]); ------------------------------- Mat([ [0, BBS :: c[1,6], BBS :: c[1,5], BBS :: c[1,3]], [1, BBS :: c[2,6], BBS :: c[2,5], BBS :: c[2,3]], [0, BBS :: c[3,6], BBS :: c[3,5], BBS :: c[3,3]], [0, BBS :: c[4,6], BBS :: c[4,5], BBS :: c[4,3]] ]) -------------------------------