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NCAlgebra :: NCMatrix + NCMatrix

NCMatrix + NCMatrix -- Add NCMatrices

Synopsis

Description

This adds NCMatrices.

i1 : A = QQ{x,y,z}

o1 = A

o1 : NCPolynomialRing
i2 : M = ncMatrix {{x, y, z}}

o2 = | x  y  z |

o2 : NCMatrix
i3 : sigma = ncMap(A,A,{y,z,x})

o3 = NCRingMap A <--- A

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' = ncMatrix {{sigma sigma M}, {sigma M}, {M}}

o5 = | z  x  y |
     |         |
     | y  z  x |
     |         |
     | x  y  z |

o5 : NCMatrix
i6 : N + N'

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

o6 : NCMatrix