A permutation matrix is a square matrix that has exactly one $1$ in each row and each column and $0$s elsewhere. Permutation matrices are orthogonal matrices.
Questions tagged [permutation-matrices]
215 questions
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Conditions for equivalence of $[A,BC] = 0$ and $[AB,C] = 0$
What are the most general conditions for which the commutation relations $[A,BC] = 0$ and $[AB,C] = 0$ equivalent? Alternatively, can it at least be shown to hold if $A$, $B$, and $C$ are all involutant? If $A$, $B$, and $C$ are involutant…
xphileprof
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Finding a Permutation Matrix of Two Matrices
So I have been painting polyhedra these days. I paint their vertices with different colors and then I paint the edges with colors that depend on the colors of the vertices in either end, and it turns out there are a lot of ways to do that. I can…
urquiza
- 887