Theorems · Theorem · linear algebra

Matrix.permanent_updateCol_smul

∀ {n : Type u_1} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type u_2} [inst_2 : CommSemiring R] (M : Matrix n n R)
  (j : n) (c : R) (u : n → R), (M.updateCol j (c • u)).permanent = c * (M.updateCol j u).permanent

Defined in

Mathlib.LinearAlgebra.Matrix.Permanent

Cited by

1 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqFintypeCommSemiring