Theorems · Theorem · linear algebra

Matrix.scalar_commute_iff

∀ {n : Type u_3} {α : Type u_11} [inst : Semiring α] [inst_1 : DecidableEq n] [inst_2 : Fintype n] {r : α}
  {M : Matrix n n α}, Commute ((Matrix.scalar n) r) M ↔ r • M = MulOpposite.op r • M

Defined in

Mathlib.Data.Matrix.Basic

Cited by

2 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringDecidableEqFintype