Manuals/calci/MATRIXTENSORPRODUCT

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MATRIXTENSORPRODUCT (a,b)


  • and are any two matrices.

Description

  • This function shows the Tensor product of the matrix.
  • In , and are any two matrices.
  • Here matrices and should be square matrix with same order.
  • Tensor product is denoted by .
  • Tensor product is different from general product.
  • The Tensor product is defined by the product two vector spaces V and W is itself a Vector space.
  • It is denoted by .
  • A DYADIC product is the special case of the tensor product between two vectors of the same dimension.
  • The tensor product of V and W is the vector space generated by the symbols , with and .
  • The tensor product from the direct sum vector space, whose dimension is the sum of the dimensions of the two summands:

  • Now consider any 2x2 matrices:

=

Examples

1. MATRIXTENSORPRODUCT([[2,6],[-4,9]],[[8,5],[3,12]])

16 10 48 30
6 24 18 72
-32 -20 72 45
-12 -48 27 108

2. MATRIXTENSORPRODUCT([[3,7.3,6],[10,11,-6],[8,5,3]],[[12,4,-5],[6,10,3],[3.5,9,5.4]])

36 12 -15 87.6 29.2 -36.5 72 24 -30
18 30 9 43.8 73 21.9 36 60 18
10.5 27 16.200000000000003 25.55 65.7 39.42 21 54 32.400000000000006
120 40 -50 132 44 -55 -72 -24 30
60 100 30 66 110 33 -36 -60 -18
35 90 54 38.5 99 59.400000000000006 -21 -54 -32.400000000000006
96 32 -40 60 20 -25 36 12 -15
48 80 24 30 50 15 18 30 9
28 72 43.2 17.5 45 27 10.5 27 16.200000000000003

Related Videos

Tensor Product

See Also

References