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On the complex matrix equation $AX-XA=B$
linear-algebra
matrices
matrix-equations
jordan-normal-form
Square roots of the basic Jordan block of order $n$ associated with the eigenvalue $1$
matrices
finite-fields
matrix-equations
matrix-decomposition
jordan-normal-form
Jordan form, number of blocks. [closed]
linear-algebra
jordan-normal-form
What is the purpose of Jordan Canonical Form?
linear-algebra
matrices
jordan-normal-form
Motivation for Jordan Canonical Form
linear-algebra
matrices
soft-question
jordan-normal-form
$T: \mathbb{C}_{2020}[x]\to \mathbb{C}_{2020}[x]$, $\sum_{i=0}^{2020}a_ix^i \mapsto \sum_{i=0}^{2020}a_i(x-1)^i$
linear-algebra
matrices
linear-transformations
jordan-normal-form
All nilpotent $2\times 2$ matrices
linear-algebra
abstract-algebra
matrices
jordan-normal-form
nilpotence
Why does the largest Jordan block determine the degree for that factor in the minimal polynomial?
linear-algebra
matrices
jordan-normal-form
minimal-polynomials
Why do we need a Jordan normal form? [duplicate]
linear-algebra
matrices
jordan-normal-form
How to calculate the matrix exponential explicitly for a matrix which isn't diagonalizable?
matrices
jordan-normal-form
matrix-exponential
Matrix exponential for Jordan canonical form
linear-algebra
matrices
exponential-function
matrix-calculus
jordan-normal-form
When can two linear operators on a finite-dimensional space be simultaneously Jordanized?
linear-algebra
linear-transformations
jordan-normal-form
An intuitive approach to the Jordan Normal form
linear-algebra
matrices
intuition
jordan-normal-form
Why does the $n$-th power of a Jordan matrix involve the binomial coefficient?
linear-algebra
matrices
binomial-coefficients
exponentiation
jordan-normal-form
Why does this matrix give the derivative of a function?
linear-algebra
matrices
derivatives
matrix-calculus
jordan-normal-form
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