Theorems · Theorem · linear algebra

Matrix.adjp_none_some

∀ {n : Type u_1} {R : Type u_3} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommSemiring R] (s : ℤˣ) (i : n)
  (A : Matrix (Option n) (Option n) R),
  Matrix.adjp s A none (some i) = Matrix.detp (-s) (A.submatrix (Function.update some i none) some)

Defined in

Mathlib.LinearAlgebra.Matrix.SemiringInverse

Cited by

0 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqCommSemiring