Theorems · Theorem · linear algebra

Matrix.adjp_apply

∀ {n : Type u_1} {R : Type u_3} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommSemiring R] (s : ℤˣ)
  (A : Matrix n n R) (i j : n), Matrix.adjp s A i j = ∑ σ ∈ Equiv.Perm.ofSign s with σ j = i, ∏ k ∈ {j}ᶜ, A k (σ k)

Defined in

Mathlib.LinearAlgebra.Matrix.SemiringInverse

Cited by

0 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqCommSemiring