Theorems · Definition · linear algebra

LinearMap.charpoly

{R : Type u} →
  {M : Type v} →
    [inst : CommRing R] →
      [inst_1 : AddCommGroup M] →
        [inst_2 : Module R M] → [Module.Free R M] → [Module.Finite R M] → (M →ₗ[R] M) → Polynomial R

The characteristic polynomial of f : M →ₗ[R] M.

Defined in

Mathlib.LinearAlgebra.Charpoly.Basic

Cited by

67 results in Mathlib

Foundations

Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleModule.FreeModule.Finite