Theorems · Theorem · linear algebra
Matrix.adjugate_diagonal
∀ {n : Type v} {α : Type w} [inst : DecidableEq n] [inst_1 : Fintype n] [inst_2 : CommRing α] (v : n → α),
(Matrix.diagonal v).adjugate = Matrix.diagonal fun i => ∏ j ∈ Finset.univ.erase i, v j- Defined in
- Mathlib.LinearAlgebra.Matrix.Adjugate
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintypeCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Finsetproof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Finset.univstatement and proof · cited by 3,473
- one_mulproof · cited by 2,841
- Finset.prodstatement and proof · cited by 2,356
- eq_or_neproof · cited by 1,117
- Matrix.detproof · cited by 665
- Matrix.extproof · cited by 540
- Pi.singleproof · cited by 518
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.SpecialLinearGroup.toGL_mem_center_iffproof · cited by 0