Theorems · Definition · linear algebra
Matrix.transpose
{m : Type u_2} → {n : Type u_3} → {α : Type v} → Matrix m n α → Matrix n m αThe transpose of a matrix.
This is available in bundled forms as:
* Matrix.transposeAddEquiv
* Matrix.transposeLinearEquiv
* Matrix.transposeRingEquiv
* Matrix.transposeAlgEquiv
* RingEquiv.mopMatrix
* AlgEquiv.mopMatrix
- Defined in
- Mathlib.LinearAlgebra.Matrix.Defs
- Cited by
- 389 results in Mathlib
- Foundations
- Depth 14 from the axioms, rests on 61 definitions · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Matrixstatement and proof · cited by 4,303
- Matrix.ofproof · cited by 336
Cited by411
Results whose statement or proof uses this declaration.
- Matrix.conjTransposeproof · cited by 202
- Matrix.IsSymmproof · cited by 70
- Matrix.adjugateproof · cited by 64
- Matrix.colproof · cited by 56
- Matrix.det_transposestatement and proof · cited by 51
- Matrix.transpose_transposestatement and proof · cited by 33
- Matrix.transpose_onestatement · cited by 22
- Matrix.diagonal_transposestatement · cited by 17
- Matrix.symplecticGroupproof · cited by 15
- Matrix.transpose_mulstatement · cited by 14
- Matrix.transpose_applystatement · cited by 13
- Matrix.transpose_submatrixstatement · cited by 12
Showing the 200 most cited of 411.