Theorems · Theorem · linear algebra

Matrix.mulVec_vecMul

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

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