Theorems · Theorem · linear algebra

Matrix.IsHermitian.of_smul

∀ {α : Type u_1} {n : Type u_4} {R : Type u_5} [inst : Monoid R] [inst_1 : Star R] [inst_2 : Star α]
  [inst_3 : MulAction R α] [StarModule R α] {A : Matrix n n α} {k : R} [Invertible k],
  (k • A).IsHermitian → IsSelfAdjoint k → A.IsHermitian

Defined in

Mathlib.LinearAlgebra.Matrix.Hermitian

Cited by

1 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Quot.sound

Assumes

MonoidStarStarMulActionStarModuleInvertible