A square matrix $A$ is called triangularizable if it is similar to a triangular matrix.
Questions tagged [triangularization]
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Simultaneous triangularization for AB-BA
Is it true in general that if $A, B \in M_{n}(\mathbb{C})$ such that $AB-BA=P(A)$ where $P \in \mathbb{C}[x]$, then $A$ and $B$ are simultanously triangularzible? I know that if $AB-BA=A^k$ for a positive integer $k$ then it is true ($Ker(A)$ is…
Rengo
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