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Theorems · Theorem · linear algebra

Matrix.transpose_circulant

∀ {α : Type u_1} {n : Type u_3} [inst : SubtractionMonoid n] (v : n → α),
  (Matrix.circulant v).transpose = Matrix.circulant fun i => v (-i)
Defined in
Mathlib.LinearAlgebra.Matrix.Circulant
Cited by
2 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
SubtractionMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.circulant_isSymm_iff · cited by 2Matrix.circulant_isSymm_i…Matrix.Fin.transpose_circulant · cited by 0Fin.transpose_circulantMatrix · cited by 4303MatrixMatrix.ext · cited by 540Matrix.extMatrix.transpose · cited by 389Matrix.transposeneg_sub · cited by 272neg_subSubtractionMonoid · cited by 208SubtractionMonoidMatrix.circulant · cited by 27Matrix.circulantMatrix.transpose_circulantCITED BYCITES

Cites6

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Cited by2

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