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quasi
Posts:
11,910
Registered:
7/15/05


Re: Matrix question
Posted:
Mar 4, 2013 4:22 PM


Ken Pledger wrote: >Dieter von Holten wrote: >>.... >>the solution is also a square matrix, same size, which has >>only one 1 in each row and column. i learned recently, that >>this is called stochastic matrix. the solution is also >>symmetric to the diagonal.... > >You can't mean that. It would just make every diagonal entry >1, and give you the identity matrix.
What about an antidiagonal matrix?
What about a transposition matrix?
What about any permutation matrix of order 2  that is, a permutation matrix P such that P^2 = I.
The given condition is equivalent to the requirement that the matrix be a product of pairwise disjoint transpositions.
quasi



