Theorems · Theorem · linear algebra

RingHom.map_det

∀ {n : Type u_2} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R] {S : Type w}
  [inst_3 : CommRing S] (f : R →+* S) (M : Matrix n n R), f M.det = (f.mapMatrix M).det

Defined in

Mathlib.LinearAlgebra.Matrix.Determinant.Basic

Cited by

41 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqFintypeCommRingCommRing