Theorems · Theorem · linear algebra
Matrix.diagonal_hadamard
∀ {α : Type u_1} {n : Type u_3} [inst : DecidableEq n] [inst_1 : MulZeroClass α] (M : Matrix n n α) (w : n → α),
(Matrix.diagonal w).hadamard M = Matrix.diagonal (w * M.diag)- Defined in
- Mathlib.LinearAlgebra.Matrix.Hadamard
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEqMulZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- MulZeroClass.zero_mulproof · cited by 1,625
- Matrix.extproof · cited by 540
- Matrix.ofproof · cited by 336
- Matrix.diagonalstatement · cited by 314
- MulZeroClassstatement and proof · cited by 232
- ite_mulproof · cited by 83
- Matrix.diagstatement · cited by 61
- Matrix.hadamardstatement and proof · cited by 55
Cited by4
Results whose statement or proof uses this declaration.
- SimpleGraph.diagonal_hadamard_adjMatrixproof · cited by 4
- Matrix.diagonal_hadamard_eq_diagonal_iffproof · cited by 1
- Matrix.one_hadamardproof · cited by 0
- Matrix.diagonal_hadamard_diagonalproof · cited by 0