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NCAlgebra :: NCRingElement * NCMatrix

NCRingElement * NCMatrix -- Product of NCMatrices

Synopsis

Description

This command allows for the scalar multiplication of an NCMatrix by an NCRingElement on the left.

i1 : B = threeDimSklyanin(QQ,{1,1,-1},{x,y,z})
--Calling Bergman for NCGB calculation.
--running: bergman -i /var/folders/46/9b86vqxj4hjcngvy7kd7sb140000gn/T/M2-12198-0/0.init -on-error exit --silent > /var/folders/46/9b86vqxj4hjcngvy7kd7sb140000gn/T/M2-12198-0/3.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 : x^2*N

     |   3   2    2  |
o5 = |  x   x y  x z |
     |               |
     |  2    2     3 |
     | x y  x z   x  |
     |               |
     |  2     3   2  |
     | x z   x   x y |

o5 : NCMatrix