![]() A fourth is multivariable calculus linkages, especially arcane matrix/vector operators as well as the Jacobian term associated with variable transformations. A third is special matrix operations, such as Kronecker sums and products. Another prominent one is the mathematical matrix theory eigenfunction abstraction. ![]() Not surprisingly, regression, the workhorse of statistics, provides one tool for such historically based recompence. Nevertheless, statistics offers great potential for making this interface a bidirectional exchange point, the theme of this review paper. ![]() Contributions mostly have been unidirectional, from matrix/linear algebra to statistics. Consequently, focused parts of matrix algebra are topics of several statistics books and journal articles. Matrix/linear algebra continues bestowing benefits on theoretical and applied statistics, a practice it began decades ago (re Fisher used the word matrix in a 1941 publication), through a myriad of contributions, from recognition of a suite of matrix properties relevant to statistical concepts, to matrix specifications of linear and nonlinear techniques.
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