Theorems · Theorem · linear algebra

Matrix.mul_smul

∀ {l : Type u_1} {m : Type u_2} {n : Type u_3} {R : Type u_7} {α : Type v} [inst : AddCommMonoid α] [inst_1 : Mul α]
  [inst_2 : Fintype n] [inst_3 : Monoid R] [inst_4 : DistribMulAction R α] [SMulCommClass R α α] (M : Matrix m n α)
  (a : R) (N : Matrix n l α), M * a • N = a • (M * N)

Defined in

Mathlib.Data.Matrix.Mul

Cited by

14 results in Mathlib

Foundations

Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidMulFintypeMonoidDistribMulActionSMulCommClass