# Manuals/calci/TENSORPRODUCT

TENSORPRODUCT (a,b)

OR

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. TENSORPRODUCT([[2,3],[1,0]],[[10,2],[6,-18]])

 20 4 30 6 12 -36 18 -54 10 2 0 0 6 -18 0 0

2. TENSORPRODUCT([[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 16.2 25.55 65.7 39.42 21 54 32.4 120 40 -50 132 44 -55 -72 -24 30 60 100 30 66 110 33 -36 -60 -18 35 90 54 38.5 99 59.4 -21 -54 -32.4 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 16.2

Tens or Product