Theorems · Theorem · linear algebra
Matrix.charmatrix_diagonal
∀ {R : Type u_1} [inst : CommRing R] {n : Type u_4} [inst_1 : DecidableEq n] [inst_2 : Fintype n] (d : n → R),
(Matrix.diagonal d).charmatrix = Matrix.diagonal fun i => Polynomial.X - Polynomial.C (d i)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingDecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Polynomialstatement and proof · cited by 5,681
- Matrixstatement and proof · cited by 4,303
- Polynomial.Xstatement and proof · cited by 1,639
- map_zeroproof · cited by 1,614
- Polynomial.Cstatement and proof · cited by 1,598
- Matrix.diagonalstatement and proof · cited by 314
- RingHom.mapMatrix_applyproof · cited by 73
- RingHom.mapMatrixproof · cited by 55
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.charpoly_diagonalproof · cited by 4
- Matrix.charmatrix_natCastproof · cited by 2
- Matrix.charmatrix_oneproof · cited by 1