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Theorems · Definition · number theory

ModularGroup.lcRow0Extend

{cd : Fin 2 → ℤ} → IsCoprime (cd 0) (cd 1) → Matrix (Fin 2) (Fin 2) ℝ ≃ₗ[ℝ] Matrix (Fin 2) (Fin 2) ℝ

Linear map sending the matrix [a, b; c, d] to the matrix [ac₀ + bd₀, - ad₀ + bc₀; c, d], for some fixed (c₀, d₀).

Defined in
Mathlib.NumberTheory.Modular
Cited by
4 results in Mathlib
Foundations
Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound

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