Theorems · Theorem · linear algebra

matPolyEquiv_symm_map_eval

∀ {R : Type u_1} [inst : CommSemiring R] {n : Type w} [inst_1 : DecidableEq n] [inst_2 : Fintype n]
  (M : Polynomial (Matrix n n R)) (r : R),
  (matPolyEquiv.symm M).map (Polynomial.eval r) = Polynomial.eval ((Matrix.scalar n) r) M

Defined in

Mathlib.RingTheory.MatrixPolynomialAlgebra

Cited by

1 results in Mathlib

Foundations

Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringDecidableEqFintype