Matrix.equiv_GL_linearindependent

{𝔽 : Type u_1} → [inst : Field 𝔽] → [Fintype 𝔽] → (n : ℕ) → GL (Fin n) 𝔽 ≃ { s // LinearIndependent 𝔽 s }

Equivalence between GL n F and n vectors of length n that are linearly independent. Given by sending a matrix to its columns.

Defined in: Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Card
Cited by: 1 results in Mathlib
Foundations: Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Fintype

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