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Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.

6 votes
2 answers
354 views

Rank of $A\otimes B - B\otimes A$

Let $A$, $B\in\mathbb{R}^{n\times n}$ be full-rank random matrices and define the Kronecker products $P=A\otimes B$ and $Q=B\otimes A$. Through example-based examination, I have found that $\text{rank …
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