Theorems · Definition · linear algebra

PiToModule.fromMatrix

{ι : Type u_1} →
  [Fintype ι] →
    {M : Type u_2} →
      [inst : AddCommGroup M] →
        (R : Type u_3) →
          [inst_1 : CommRing R] → [inst_2 : Module R M] → (ι → M) → [DecidableEq ι] → Matrix ι ι R →ₗ[R] (ι → R) →ₗ[R] M

The composition of a matrix (as an endomorphism of ι → R) with the projection (ι → R) →ₗ[R] M.

Defined in

Mathlib.LinearAlgebra.Matrix.Charpoly.LinearMap

Cited by

6 results in Mathlib

Foundations

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

Assumes

FintypeAddCommGroupCommRingModuleDecidableEq