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The 8 pages that link to Permutation matrix, each with the reason it gives.

• PermutationRelated: Multiplying by it reorders vector coordinates according to a permutation.

• Adjacency matrixRelated: Permutation matrices express the simultaneous row-and-column reorderings caused by vertex relabeling.

• Identity matrixCompared with: It begins with the identity matrix's pattern but rearranges its ones.

• Assignment problemBroader topic: For equal numbers of agents and tasks, it represents a one-to-one assignment.

• LU decompositionRelated: Pivoting records row exchanges in a permutation matrix, giving PA = LU.

• Kronecker deltaBroader topic: The identity matrix’s delta entries provide the starting pattern for row permutations.

• Diagonal matrixCompared with: It rearranges coordinate directions rather than scaling each direction in place.

• Gauss–Seidel methodRelated: Reordering unknowns changes the sweep and can alter convergence.