Theorems · Theorem · linear algebra

Matrix.swap_mulVec

∀ {R : Type u_1} {n : Type u_2} [inst : Semiring R] [inst_1 : DecidableEq n] [inst_2 : Fintype n] (i j : n) (a : n → R),
  (Matrix.swap R i j).mulVec a = a ∘ ⇑(Equiv.swap i j)

Defined in

Mathlib.LinearAlgebra.Matrix.Swap

Cited by

0 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringDecidableEqFintype