# Questions tagged [vectorization]

The vectorization of a matrix is a linear transformation that converts the matrix into a column vector.

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### Any body knows the name of the product $A\circ B$, It is not Hadamard tensor product

I have seen this operation in a vectorization operation of $D=AX^{T}B$ i.e. $vec(D)=\left( A\circ B\right) vec(X),$ \begin{equation*} A\circ B= \begin{pmatrix} A_{1}B_{1}^{T} & A_{2}B_{1}^{T} &...
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### Vectorized form of a Graph's Degree matrix?

A Graph's diagonal Degree matrix, $D$ is typically defined as $$D_{ii} = \sum_{j} A_{ij}$$ i.e., each i-th diagonal of the Degree matrix is the sum of the i-th row of matrix $A$ (the Adjacency ...
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### What is the vectorized form of this expression?

I want to figure out a general formula for vectorizing computations. For example, if I am given matrices, A,B such that A is $m \times q$, B is $n \times q$. And I want to compute the matrix $X$, ...
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### Vector Parametric Form Flat

Please see the image with the question and my answer. The thing I'm having an issue with is understanding what this vector description actually is. Is it a 2-dimensional flat in $\mathbb{R}^6$? In ...
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