Theorems · Definition · linear algebra

Matrix.nonsingInvUnit

{n : Type u'} →
  {α : Type v} →
    [inst : Fintype n] →
      [inst_1 : DecidableEq n] → [inst_2 : CommRing α] → (A : Matrix n n α) → IsUnit A.det → (Matrix n n α)ˣ

A version of Matrix.unitOfDetInvertible with the inverse defeq to A⁻¹ that is therefore noncomputable.

Defined in

Mathlib.LinearAlgebra.Matrix.NonsingularInverse

Cited by

2 results in Mathlib

Foundations

Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqCommRing