Theorems · Theorem · linear algebra
Matrix.adjugate_fin_two
∀ {α : Type w} [inst : CommRing α] (A : Matrix (Fin 2) (Fin 2) α), A.adjugate = !![A 1 1, -A 0 1; -A 1 0, A 0 0]- Defined in
- Mathlib.LinearAlgebra.Matrix.Adjugate
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Equivstatement · cited by 8,337
- Matrixstatement and proof · cited by 4,303
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- pow_zeroproof · cited by 1,094
- pow_oneproof · cited by 894
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- neg_mulproof · cited by 654
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.adjugate_fin_two_ofproof · cited by 2
- ModularGroup.coe_T_invproof · cited by 1
- Matrix.SpecialLinearGroup.SL2_inv_explproof · cited by 0