Theorems · Theorem · linear algebra

Matrix.detp_eq_of_row_eq

∀ {n : Type u_1} {R : Type u_3} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommSemiring R] {A : Matrix n n R}
  {p q : n}, p ≠ q → A.row p = A.row q → ∀ (s : optParam ℤˣ 1) (t : optParam ℤˣ (-1)), Matrix.detp s A = Matrix.detp t A

Defined in

Mathlib.LinearAlgebra.Matrix.SemiringInverse

Cited by

3 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqCommSemiring