Fundamentally, the "big picture" of linear algebra is that of linear transformations. The application of it to solving systems of equations is a convenient introductory point.

Suitable linear transformations for preliminary data analysis are available when data consist solely of continuous variables or solely of binary variables. When mixtures of variables are observed, ...

More information: Xilin Yang et al, Complex-valued universal linear transformations and image encryption using spatially incoherent diffractive networks, Advanced Photonics Nexus (2024).

Journal of the Royal Statistical Society. Series B (Statistical Methodology), Vol. 76, No. 2 (MARCH 2014), pp. 349-372 (24 pages) The paper considers in the high dimensional setting a canonical ...