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outer product 1

Tensor product(Outer product) VS Dot Product(Inner product)

Tensor product(Outer product) The outer product (denoted by ⊗) results in a matrix (or tensor) rather than a scalar. Let’s say, you have two vectors: Then, \(V \otimes W\) = \(\vec{v} \otimes \vec{w}\)">\( (\vec{v}, \vec{w}), \quad \vec{v} \in V,\ \vec{w} \in W \) Then, \( V \otimes W \) = \(\vec{v} \otimes \vec{w}\)Dot Product(Inner product) It results in a scalar. \( A \cdot B = \begin{bmatrix..

Math 2024.09.26
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