Theorems · Theorem · linear algebra

Matrix.Commute.mul_zpow

∀ {n' : Type u_1} [inst : DecidableEq n'] [inst_1 : Fintype n'] {R : Type u_2} [inst_2 : CommRing R]
  {A B : Matrix n' n' R}, Commute A B → ∀ (i : ℤ), (A * B) ^ i = A ^ i * B ^ i

Defined in

Mathlib.LinearAlgebra.Matrix.ZPow

Cited by

0 results in Mathlib

Foundations

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

Assumes

DecidableEqFintypeCommRing