NCMatrix * QQ -- Product of NCMatrices

Synopsis

Usage:
L = M*a
Operator: *
Inputs:
- M, an object of class NCMatrix
- a, a rational number
Outputs:
- L, an object of class NCMatrix

Description

This command allows for the scaling of an NCMatrix by an element in QQ.

i1 : B = threeDimSklyanin(QQ,{1,1,-1},{x,y,z})
--Calling Bergman for NCGB calculation.
--running: bergman -i /var/folders/46/9b86vqxj4hjcngvy7kd7sb140000gn/T/M2-12633-0/0.init -on-error exit --silent > /var/folders/46/9b86vqxj4hjcngvy7kd7sb140000gn/T/M2-12633-0/3.ter ... Complete!

o1 = B

o1 : NCQuotientRing

i2 : M = ncMatrix {{x, y, z}}

o2 = | x  y  z |

o2 : NCMatrix

i3 : sigma = ncMap(B,B,{y,z,x})

o3 = NCRingMap B <--- B

o3 : NCRingMap

i4 : N = ncMatrix {{M},{sigma M}, {sigma sigma M}}

o4 = | x  y  z |
     |         |
     | y  z  x |
     |         |
     | z  x  y |

o4 : NCMatrix

i5 : N*(1/2)

     | 1   1   1  |
o5 = | -x  -y  -z |
     | 2   2   2  |
     |            |
     | 1   1   1  |
     | -y  -z  -x |
     | 2   2   2  |
     |            |
     | 1   1   1  |
     | -z  -x  -y |
     | 2   2   2  |

o5 : NCMatrix