Theorems · Theorem · linear algebra

Matrix.det_eq_of_forall_row_eq_smul_add_const_aux

∀ {n : Type u_2} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R] {A B : Matrix n n R}
  {s : Finset n} (c : n → R), (∀ i ∉ s, c i = 0) → ∀ k ∉ s, (∀ (i j : n), A i j = B i j + c i * B k j) → A.det = B.det

Defined in

Mathlib.LinearAlgebra.Matrix.Determinant.Basic

Cited by

1 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqFintypeCommRing