Definition
Given a permutation π of m elements,
given in two-line form by
its permutation matrix is the m × m matrix Pπ whose entries are all 0 except that in row i, the entry π(i) equals 1. We may write
where denotes a row vector of length m with 1 in the jth position and 0 in every other position.
Read more about this topic: Permutation Matrix
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