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Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
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Handling the $\ell^2$ norm of a matrix expression in a linear regression
I finally obtained the result using $||v||_2^2=v^Tv$, $(AB)^T=B^TA^T$, $(A+B)^T=A^T+B^T$, $(A^{-1})^T=(A^T)^{-1}$
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Handling the $\ell^2$ norm of a matrix expression in a linear regression
I am reading a scientific article in which matrices are handled (which I do not use often). We consider a matrix $X\in\mathbb R^{n\times p}$ and a vector $y\in\mathbb R^n$. …