Theorems · Theorem · linear algebra
Matrix.adjugate_fin_two_of
∀ {α : Type w} [inst : CommRing α] (a b c d : α), !![a, b; c, d].adjugate = !![d, -b; -c, a]- Defined in
- Mathlib.LinearAlgebra.Matrix.Adjugate
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 99 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.
Cites9
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 · cited by 4,303
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- Matrix.ofstatement and proof · cited by 336
- Matrix.adjugatestatement · cited by 64
- Matrix.adjugate_fin_twoproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- ModularGroup.T_inv_mul_apply_oneproof · cited by 1
- ModularGroup.exists_eq_T_zpow_of_c_eq_zeroproof · cited by 0