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Theorems · Theorem · linear algebra

Matrix.adjugate_def

∀ {n : Type v} {α : Type w} [inst : DecidableEq n] [inst_1 : Fintype n] [inst_2 : CommRing α] (A : Matrix n n α),
  A.adjugate = Matrix.of fun i => A.transpose.cramer (Pi.single i 1)
Defined in
Mathlib.LinearAlgebra.Matrix.Adjugate
Cited by
2 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqFintypeCommRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.adjugate_apply · cited by 5Matrix.adjugate_applyMatrix.cramer_eq_adjugate_mulVec · cited by 2Matrix.cramer_eq_adjugate…DFunLike.coe · cited by 62936DFunLike.coeRingHom.id · cited by 18349RingHom.idCommRing · cited by 17173CommRingLinearMap · cited by 10215LinearMapEquiv · cited by 8337EquivFintype · cited by 7736FintypeMatrix · cited by 4303MatrixPi.single · cited by 518Pi.singleMatrix.transpose · cited by 389Matrix.transposeMatrix.of · cited by 336Matrix.ofMatrix.adjugate · cited by 64Matrix.adjugateMatrix.cramer · cited by 27Matrix.cramerMatrix.adjugate_defCITED BYCITES

Cites12

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Cited by2

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