Theorems · Definition · linear algebra
Matrix.updateRow
{m : Type u_2} → {n : Type u_3} → {α : Type v} → [DecidableEq m] → Matrix m n α → m → (n → α) → Matrix m n αUpdate, i.e. replace the ith row of matrix A with the values in b.
- Defined in
- Mathlib.LinearAlgebra.Matrix.RowCol
- Cited by
- 63 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Function.updateproof · cited by 502
- Matrix.ofproof · cited by 336
Cited by64
Results whose statement or proof uses this declaration.
- Matrix.updateRow_selfstatement · cited by 19
- Matrix.updateRow_nestatement · cited by 16
- Matrix.updateRow_transposestatement and proof · cited by 12
- Matrix.updateRow.congr_simpstatement and proof · cited by 10
- Matrix.updateRow_applystatement and proof · cited by 9
- Matrix.updateRow_eq_selfstatement · cited by 7
- Polynomial.sylvesterDerivproof · cited by 6
- Matrix.updateCol_transposestatement and proof · cited by 5
- Matrix.adjugate_applystatement and proof · cited by 5
- Matrix.adjugate_transposeproof · cited by 5
- Matrix.det_updateRow_smulstatement · cited by 5
- Matrix.updateRow_submatrix_equivstatement · cited by 4