Theorems · Theorem · linear algebra

Matrix.mulVec_smul

∀ {m : Type u_2} {n : Type u_3} {R : Type u_7} {α : Type v} [inst : NonUnitalNonAssocSemiring α] [inst_1 : Fintype n]
  [inst_2 : DistribSMul R α] [SMulCommClass R α α] (M : Matrix m n α) (b : R) (v : n → α),
  M.mulVec (b • v) = b • M.mulVec v

Defined in

Mathlib.Data.Matrix.Mul

Cited by

3 results in Mathlib

Foundations

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

Assumes

NonUnitalNonAssocSemiringFintypeDistribSMulSMulCommClass