Theorems · Definition · linear algebra
Matrix.TransvectionStruct.toMatrix
{n : Type u_1} → {R : Type u₂} → [DecidableEq n] → [CommRing R] → Matrix.TransvectionStruct n R → Matrix n n RAssociating to a transvection_struct the corresponding transvection matrix.
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
- Assumes
- DecidableEqCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Matrixstatement · cited by 4,303
- Matrix.TransvectionStructstatement and proof · cited by 42
- Matrix.transvectionproof · cited by 24
- Matrix.TransvectionStruct.iproof · cited by 7
- Matrix.TransvectionStruct.jproof · cited by 6
- Matrix.TransvectionStruct.cproof · cited by 5
Cited by32
Results whose statement or proof uses this declaration.
- Matrix.TransvectionStruct.detstatement · cited by 4
- Matrix.Pivot.exists_list_transvec_mul_diagonal_mul_list_transvecstatement and proof · cited by 3
- Matrix.TransvectionStruct.reverse_inv_prod_mul_prodstatement and proof · cited by 3
- Matrix.mem_range_scalar_of_commute_transvectionStructstatement and proof · cited by 3
- Matrix.SpecialLinearGroup.scalar_eq_self_of_mem_centerproof · cited by 2
- Matrix.Pivot.reindex_exists_list_transvec_mul_mul_list_transvec_eq_diagonalstatement and proof · cited by 2
- Matrix.TransvectionStruct.det_toMatrix_prodstatement and proof · cited by 2
- Matrix.TransvectionStruct.inv_mulstatement · cited by 2
- Matrix.TransvectionStruct.mul_invstatement · cited by 2
- Matrix.TransvectionStruct.prod_mul_reverse_inv_prodstatement and proof · cited by 2
- Matrix.GeneralLinearGroup.mem_center_iff_val_mem_range_scalarproof · cited by 2
- Matrix.TransvectionStruct.toMatrix_sumInlstatement · cited by 2