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NCAlgebra :: NCMatrix * Matrix

NCMatrix * Matrix -- Product of NCMatrices

Synopsis

Description

This command allows for the product of composable NCMatrices (or ordinary matrices over the base).

i1 : B = threeDimSklyanin(QQ,{1,1,-1},{x,y,z})
--Calling Bergman for NCGB calculation.
--running: bergman -i /var/folders/46/9b86vqxj4hjcngvy7kd7sb140000gn/T/M2-12468-0/0.init -on-error exit --silent > /var/folders/46/9b86vqxj4hjcngvy7kd7sb140000gn/T/M2-12468-0/3.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 : L = map(QQ^3,QQ^3,{{2,0,0},{1,2,0},{1,2,3}})

o5 = | 2 0 0 |
     | 1 2 0 |
     | 1 2 3 |

              3        3
o5 : Matrix QQ  <--- QQ
i6 : N*L

o6 = | z+y+2x  2z+2y  3z |
     |                   |
     | z+2y+x  2z+2x  3x |
     |                   |
     | 2z+y+x  2y+2x  3y |

o6 : NCMatrix