Theorems · Theorem · linear algebra

Matrix.scalar_commute

∀ {n : Type u_3} {α : Type u_11} [inst : Semiring α] [inst_1 : DecidableEq n] [inst_2 : Fintype n] (r : α),
  (∀ (r' : α), Commute r r') → ∀ (M : Matrix n n α), Commute ((Matrix.scalar n) r) M

Defined in

Mathlib.Data.Matrix.Basic

Cited by

3 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringDecidableEqFintype