Answer by Andrew D. Hwang for Why are anti-diagonal / persymmetric matrices...
$\newcommand{\dd}{\partial}$If $A$ is an $n \times n$ matrix, and if $x$ and $y$ are columns satisfying $y = Ax$, then the $(i, j)$-entry of $A$ measures the "sensitivity" of $y_{i}$ to changes in...
View ArticleAnswer by Ben Grossmann for Why are anti-diagonal / persymmetric matrices not...
I don't know how satisfying this answer will be, but I'll give it a shot anyway. The punchline, I think, is that although these "diagonal properties" have just as much aesthetic appeal as their...
View ArticleWhy are anti-diagonal / persymmetric matrices not as important as diagonal /...
Diagonal matrices and diagonalizability are key topics in linear algebra as well as numerical linear algebra. Likewise, symmetric matrices have lots of nice properties that make them widely studied and...
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