Theorems · Theorem · linear algebra

Matrix.det_updateCol_add_smul_self

∀ {n : Type u_2} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R] (A : Matrix n n R)
  {i j : n}, i ≠ j → ∀ (c : R), (A.updateCol i fun k => A k i + c • A k j).det = A.det

Defined in

Mathlib.LinearAlgebra.Matrix.Determinant.Basic

Cited by

0 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqFintypeCommRing