Theorems · Theorem · linear algebra

LinearMap.charpoly_baseChange

∀ {R : Type u_3} {M : Type u_2} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
  [inst_3 : Module.Free R M] [inst_4 : Module.Finite R M] (f : M →ₗ[R] M) (A : Type u_1) [inst_5 : CommRing A]
  [inst_6 : Algebra R A], (LinearMap.baseChange A f).charpoly = Polynomial.map (algebraMap R A) f.charpoly

Defined in

Mathlib.LinearAlgebra.Charpoly.BaseChange

Cited by

2 results in Mathlib

Foundations

Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleModule.FreeModule.FiniteCommRingAlgebra