Theorems · Theorem · linear algebra

LinearMap.trace_conj

∀ (R : Type u) [inst : CommSemiring R] {M : Type v} [inst_1 : AddCommMonoid M] [inst_2 : Module R M] (g : M →ₗ[R] M)
  (f : (M →ₗ[R] M)ˣ), (LinearMap.trace R M) (↑f * g * ↑f⁻¹) = (LinearMap.trace R M) g

The trace of an endomorphism is invariant under conjugation

Defined in

Mathlib.LinearAlgebra.Trace

Cited by

0 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModule