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Matrix Vectorization

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Abstract

It is frequently more convenient to write a matrix in vector form. For lack of a suitable term, we have coined for this operation the phrase “vectorization of a matrix”.

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Notes

  1. 1.

    Even if n > m, the procedure given below will produce a basis as well, except that the unit vectors e j will then be m-element column vectors.

  2. 2.

    This term will be formally defined in a later chapter; for the moment the reader may think of white noise as a sequence of zero mean uncorrelated random variables with finite variance.

  3. 3.

    For lack of established terminology, we term such operation rematricizing.

  4. 4.

    For an explicit derivation, see Sect. 2.7.

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Dhrymes, P.J. (2013). Matrix Vectorization. In: Mathematics for Econometrics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8145-4_4

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