KnowraCayley–Hamilton theoremLinked fromLinked fromThe 9 pages that link to Cayley–Hamilton theorem, each with the reason it gives.All 9Broader topic 1Related 4Compared with 4Characteristic polynomialRelated: The polynomial gives a matrix identity when λ is replaced by A.Arthur CayleyBroader topic: This result links a matrix’s characteristic polynomial directly to the matrix itself.Minimal polynomialRelated: The minimal polynomial of a linear operator is the matrix analogue of an element's minimal polynomial.Commutative ringCompared with: It applies ring-like polynomial evaluation to matrices, whose multiplication is generally noncommutative.Square matrixRelated: It reduces sufficiently high powers of a square matrix to lower-degree expressions.Cayley's theoremCompared with: It shares Cayley's name but is a separate theorem about matrices, not group embeddings.Nakayama's lemmaRelated: The determinant-trick proof invokes this matrix identity to obtain an annihilating scalar.Capelli identityCompared with: It is a classical matrix identity, unlike Capelli’s correction for noncommuting differential operators.Fitting lemmaCompared with: It yields polynomial relations for operators, while Fitting's lemma relies on stabilization of submodules.