Theorems · Theorem · linear algebra

Matrix.cramer_transpose_apply

∀ {n : Type v} {α : Type w} [inst : DecidableEq n] [inst_1 : Fintype n] [inst_2 : CommRing α] (A : Matrix n n α)
  (b : n → α) (i : n), A.transpose.cramer b i = (A.updateRow i b).det

Defined in

Mathlib.LinearAlgebra.Matrix.Adjugate

Cited by

0 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqFintypeCommRing