Theorems · Theorem · linear algebra

Matrix.vecMul_mulVec

∀ {m : Type u_2} {n : Type u_3} {o : Type u_4} {α : Type v} [inst : NonUnitalCommSemiring α] [inst_1 : Fintype m]
  [inst_2 : Fintype n] (A : Matrix m n α) (B : Matrix m o α) (x : n → α),
  Matrix.vecMul (A.mulVec x) B = Matrix.vecMul x (A.transpose * B)

Defined in

Mathlib.Data.Matrix.Mul

Cited by

0 results in Mathlib

Foundations

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

Assumes

NonUnitalCommSemiringFintypeFintype