Theorems · Theorem · linear algebra

Matrix.minpoly_toLin

∀ {R : Type u} [inst : CommRing R] {n : Type v} [inst_1 : DecidableEq n] [inst_2 : Fintype n] {N : Type w}
  [inst_3 : AddCommGroup N] [inst_4 : Module R N] (b : Module.Basis n R N) (M : Matrix n n R),
  minpoly R ((Matrix.toLin b b) M) = minpoly R M

Defined in

Mathlib.LinearAlgebra.Matrix.Charpoly.Minpoly

Cited by

0 results in Mathlib

Foundations

Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingDecidableEqFintypeAddCommGroupModule