c or Dot[
] gives products of vectors, matrices and tensors.
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:
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, Dot remains unevaluated. It has the attribute Flat.
See the Mathematica book: Section 1.8.3, Section 3.7.5.
See also: Inner, Cross, Outer, NonCommutativeMultiply.
Related package: Calculus`VectorAnalysis`.
This is the dot product of two vectors.
This is the dot product of a x matrix and a vector.
The dot product of a x matrix and a x matrix is a x matrix.
This is the dot product of two tensors.
Here are their dimensions.
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