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Omni-MATH / Determine all positive integers n for which there exist n×n real invertible matrices A and B that satisfy AB−BA=B²A.

Problem

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problem

Determine all positive integers nn for which there exist n×nn \times n real invertible matrices AA and BB that satisfy AB−BA=B2AA B-B A=B^{2} A.
Plain-text mathematical notation (without MathML)
Determine all positive integers n for which there exist n×n real invertible matrices A and B that satisfy AB−BA=B²A.
Original LaTeX notation
Determine all positive integers $n$ for which there exist $n \times n$ real invertible matrices $A$ and $B$ that satisfy $A B-B A=B^{2} A$.

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Source and history

task_id
4e157de2-e224-5fe9-9845-2dc385b0586e
task_key
test--4e157de2-e224-5fe9-9845-2dc385b0586e
task_revision_id
1
config / split
/ test

Official source

initial import