Theorems · Theorem · linear algebra

Matrix.maxGenEigenspace_toLin_diagonal_eq_eigenspace

∀ {R : Type u_1} {n : Type u_2} {M : Type u_3} [inst : DecidableEq n] [inst_1 : Fintype n] [inst_2 : CommRing R]
  [inst_3 : AddCommGroup M] [inst_4 : Module R M] (d : n → R) {μ : R} (b : Module.Basis n R M) [IsDomain R],
  Module.End.maxGenEigenspace ((Matrix.toLin b b) (Matrix.diagonal d)) μ =
    Module.End.eigenspace ((Matrix.toLin b b) (Matrix.diagonal d)) μ

Defined in

Mathlib.LinearAlgebra.Eigenspace.Matrix

Cited by

1 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqFintypeCommRingAddCommGroupModuleIsDomain