matrix, vector and tensor operators

1. matrix multiplication

AB=C A B = C

ref:
Matrix multiplication - Wikipedia
https://en.wikipedia.org/wiki/Matrix_multiplication

2. inner product (dot product)

Algebraic definition

a⋅b=∑i=1naibi a ⋅ b = ∑ i = 1 n a i b i

ref:
Dot product - Wikipedia
https://en.wikipedia.org/wiki/Dot_product

3. outer product

u⊗v=uvT u ⊗ v = u v T

ref:
Outer product - Wikipedia
https://en.wikipedia.org/wiki/Outer_product

4. Hadamard product (matrices)

ref:
Hadamard product (matrices) - Wikipedia
https://en.wikipedia.org/wiki/Hadamard_product_(matrices)

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ref:
List of mathematical symbols by subject - Wikipedia
https://en.wikipedia.org/wiki/List_of_mathematical_symbols_by_subject
Multilinear algebra - Wikipedia
https://en.wikipedia.org/wiki/Multilinear_algebra