Theorems · Definition · linear algebra

Matrix.detp

{n : Type u_1} → {R : Type u_3} → [Fintype n] → [DecidableEq n] → [CommSemiring R] → ℤˣ → Matrix n n R → R

The determinant, but only the terms of a given sign. A.detp 1 is written |A|⁺ in the literature and A.detp (-1) is written |A|⁻.

Defined in

Mathlib.LinearAlgebra.Matrix.SemiringInverse

Cited by

37 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqCommSemiring