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Theorems · Theorem · linear algebra

Matrix.mul_inv_of_invertible

∀ {n : Type u'} {α : Type v} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing α] (A : Matrix n n α)
  [Invertible A], A * A⁻¹ = 1
Defined in
Mathlib.LinearAlgebra.Matrix.NonsingularInverse
Cited by
1 results in Mathlib
Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeDecidableEqCommRingInvertible
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Around this declaration

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Matrix.charpoly_inv · cited by 0Matrix.charpoly_invCommRing · cited by 17173CommRingFintype · cited by 7736FintypeMatrix · cited by 4303MatrixInvertible · cited by 549InvertibleMatrix.mul_nonsing_inv · cited by 11Matrix.mul_nonsing_invMatrix.isUnit_det_of_invertible · cited by 6Matrix.isUnit_det_of_inve…Matrix.mul_inv_of_invertibleCITED BYCITES

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Cited by1

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