tensor(Matrix,Matrix) -- tensor product

Synopsis

• Function: tensor

• Usage:

  f ** g

  tensor(f, g)

• Inputs:
  • f, a matrix,
  • g, a matrix,
• Outputs:
  • a matrix, the tensor product of maps $f$ and $g$

Description

i1 : R = ZZ[a..d];

i2 : f = matrix {{a,b}}

o2 = | a b |

             1      2
o2 : Matrix R  <-- R

i3 : g = transpose matrix {{c,d}}

o3 = {-1} | c |
     {-1} | d |

             2      1
o3 : Matrix R  <-- R

i4 : f ** g

o4 = {-1} | ac bc |
     {-1} | ad bd |

             2      2
o4 : Matrix R  <-- R

See also

• flip -- isomorphism map of commutativity of tensor product
• tensor(Module,Module) -- tensor product of modules
• tensor(Matrix,Module) -- tensor product