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2016年3月30日—InverseofapermutationmatrixP:TheinverseofapermutationmatrixPisthetransposeofPitself.Inotherwords,P^(-1)=P^T.,2020年9月14日—Thekeypointisthatanypermutationmatrixcanbeobtainedasaproductofelementarypermutationmatriceseachofonebyleft .....
Permutation matrix
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Apermutationmatrixisanorthogonalmatrix,thatis,itstransposeisequaltoitsinverse.PropositionLet$P$bea$KimesK$permutationmatrix.Then,$ ...
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