Theorems · Definition · linear algebra

Matrix.transposeRingEquiv

(m : Type u_2) →
  (α : Type u_11) →
    [inst : AddCommMonoid α] → [inst_1 : CommMagma α] → [inst_2 : Fintype m] → Matrix m m α ≃+* (Matrix m m α)ᵐᵒᵖ

Matrix.transpose as a RingEquiv to the opposite ring. See also RingEquiv.mopMatrix for a version that doesn't require α to have commutative multiplication, by taking its opposite.

Defined in

Mathlib.Data.Matrix.Basic

Cited by

4 results in Mathlib

Foundations

Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidCommMagmaFintype