Dot
Usage
• a.b.c or Dot[a, b, c] gives products of vectors, matrices and tensors.
Notes
• a.b gives an explicit result when a and b are lists with appropriate dimensions. It contracts the last index in a with the first index in b. • Various applications of Dot:
{ , } . { , } | scalar product of vectors | { , } . {{ , }, { , }} | product of a vector and a matrix | {{ , }, { , }} . { , } | product of a matrix and a vector | {{ , }, { , }} . {{ , }, { , }} | product of two matrices |
• The result of applying Dot to two tensors  and  is the tensor  . Applying Dot to a rank  tensor and a rank  tensor gives a rank  tensor. • When its arguments are not lists or sparse arrays, Dot remains unevaluated. It has the attribute Flat. • New in Version 1. • Advanced Documentation.
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