Theorems · Theorem · linear algebra

Matrix.nonsing_inv_apply

∀ {n : Type u'} {α : Type v} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing α] (A : Matrix n n α)
  (h : IsUnit A.det), A⁻¹ = ↑h.unit⁻¹ • A.adjugate

Defined in

Mathlib.LinearAlgebra.Matrix.NonsingularInverse

Cited by

2 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqCommRing