mulRightLinearMap_eq_mulRight — Mathlib

English

For square matrices, mulRightLinearMap equals LinearMap.mulRight; i.e., the right-multiplication operator is the same as the corresponding linear map.

Русский

Для квадратных матриц mulRightLinearMap совпадает с LinearMap.mulRight; т.е. правое умножение совпадает с соответствующей линейной картой.

LaTeX

$$$$mulRightLinearMap\\ m\\ R = LinearMap.mulRight R \\\\; (A := Matrix m m A).$$$$

Lean4

/-- On square matrices, `Matrix.mulRightLinearMap` and `LinearMap.mulRight` coincide. -/
theorem mulRightLinearMap_eq_mulRight : mulRightLinearMap m R = LinearMap.mulRight R (A := Matrix m m A) :=
  rfl

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