Theorems · Definition · linear algebra
Matrix.map
{m : Type u_2} → {n : Type u_3} → {α : Type v} → {β : Type w} → Matrix m n α → (α → β) → Matrix m n βM.map f is the matrix obtained by applying f to each entry of the matrix M.
This is available in bundled forms as:
* AddMonoidHom.mapMatrix
* LinearMap.mapMatrix
* RingHom.mapMatrix
* AlgHom.mapMatrix
* Equiv.mapMatrix
* AddEquiv.mapMatrix
* LinearEquiv.mapMatrix
* RingEquiv.mapMatrix
* AlgEquiv.mapMatrix
- Defined in
- Mathlib.LinearAlgebra.Matrix.Defs
- Cited by
- 247 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 by263
Results whose statement or proof uses this declaration.
- Matrix.conjTransposeproof · cited by 202
- RingHom.mapMatrix_applystatement · cited by 73
- RingHom.mapMatrixproof · cited by 55
- RingHom.map_detproof · cited by 41
- Matrix.map_onestatement · cited by 15
- Matrix.diagonal_mapstatement · cited by 15
- AlgHom.mapMatrixproof · cited by 14
- Matrix.numproof · cited by 13
- LinearMap.mapMatrixproof · cited by 12
- Matrix.map_applystatement · cited by 10
- Polynomial.resultant_map_mapproof · cited by 10
- Matrix.map_mulstatement · cited by 9
Showing the 200 most cited of 263.