Theorems · Theorem · linear algebra

Matrix.mulVec_surjective_iff_exists_right_inverse

∀ {m : Type u} {n : Type u'} {R : Type u_2} [inst : Semiring R] [inst_1 : DecidableEq m] [Finite m] [inst_3 : Fintype n]
  {A : Matrix m n R}, Function.Surjective A.mulVec ↔ ∃ B, A * B = 1

Defined in

Mathlib.LinearAlgebra.Matrix.NonsingularInverse

Cited by

1 results in Mathlib

Foundations

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

Assumes

SemiringDecidableEqFiniteFintype