LinearMap.det

{M : Type u_7} →
  [inst : AddCommGroup M] → {A : Type u_8} → [inst_1 : CommRing A] → [inst_2 : Module A M] → (M →ₗ[A] M) →* A

The determinant of an endomorphism independent of basis. If there is no finite basis on M, the result is 1 instead.

Defined in: Mathlib.LinearAlgebra.Determinant
Cited by: 127 results in Mathlib
Foundations: Depth 125 from the axioms, rests on 4,332 definitions · uses propext, Classical.choice, Quot.sound
Assumes: AddCommGroup CommRing Module

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.