lemma A.497 The determinant is multiplicative

open in the book · appendices/A-long-proofs.tex:24415 · p. 3036

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lemma A.497: The determinant is multiplicativeA.497equation 5.19: eq:lin-leibniz-det5.19lemma A.504: TransitivityA.504proof : app:A-long-proofs@proof-294proofdefinition A.508: Primitive mapA.508definition 5.58: Special linear group5.58definition 5.70: Characteristic polynomial5.70lemma A.507: Coordinate permutationsA.507lemma 5.33: Determinant through the Levi–Civita symbol5.33lemma 5.137: The alternating top form is unique up to scale5.137proposition 7.111: Jacobi's formula, cofactor form7.111proposition 5.74: prop:lin-geometric-le-algebraic5.74proposition 5.2: Jacobi's formula, column form5.2proposition 13.6: Levi-Civita identities in three dimensions13.6definition A.503: The substitution propertyA.503proposition 7.104: Chain rule in several variables7.104proof : app:A-long-proofs@proof-299proof

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typedirectionnode provenancewhere
depends_on eq:lin-leibniz-det declared appendices/A-long-proofs.tex:24419
depends_on Transitivity declared appendices/A-long-proofs.tex:24683
proves app:A-long-proofs@proof-294 declared appendices/A-long-proofs.tex:24422