User talk:Magenta.lily

My projects and discussion

Linear algebra notation consistency

I've been going around making matrix transpose notation consistent with that used in the transpose article. In particular, anything like ^T or ^\mathsf{T} gets replaced with ^\operatorname{T}. That means that instead of $A^{T}$ or $A^{\mathsf {T}}$, the convention is $A^{\operatorname {T} }$.

Additionally, I have been trying to make bold-facing of matrices consistent within articles. I have come across quite a few articles where a matrix is denoted as $\mathbf {A}$ is one section but as $A$ in the next. I have been biasing towards whatever is most prominent on the page and what appears the earliest. I have been replacing all instances of ${\boldsymbol {A}}$ with $\mathbf {A}$ as the latter is used most frequently in significant linear algebra articles. However, if a Greek letter is used to represent a matrix (such as ${\boldsymbol {\beta }}$ in Generalized least squares), I am inserting \boldsymbol to ensure it appears bold when other Latin-letter matrices are bolded.

Any feedback or thoughts on this are greatly appreciated.

Pages worked on:

page name
Generalized least squares
Schur complement
Multivariate normal distribution
Definite matrix
Singular value decomposition
Conjugate transpose
Ordinary least squares
Gauss–Markov theorem
Moore–Penrose inverse
Singular value decomposition
Generalized inverse
Confidence region

Magenta.lily (talk) 18:02, 14 January 2024 (UTC)