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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.

2 votes
0 answers
146 views

Jacobi formula for matrices: variations

Jacobi’s formula says: $\frac{d}{dt}\text{det}(A(t))=\text{det}(A(t)) \cdot \text{tr}(\text{Ad}(A(t))\cdot\frac{d}{dt}(A(t))$. Exists maybe a variation of the Jacobi’s formula where $\text{det}(\frac{ …
Fynn13's user avatar
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1 vote
1 answer
112 views

square matrix depending on complex value: spectral radius continous? [closed]

Let $A(z)$ be a $n\times n$ square matrix depending on the complex value $z$ and $\lambda_z$ is its spectral radius. Is $\lambda_z$ continous or is it possible that it can jump? Or maybe someone knows …
Fynn13's user avatar
  • 83