Please use neat matrix notation. Much appreciated :) 9.a) Prove that H = {0b) Show that H is cyclic.| n = Z } is a subgroup of GL₂(R) under multiplication.

9. (a) To Prove: H=1n01 | n∈ℤ is a subgroup of GL2ℝ under multiplication. (b) To Show: H is…

Answered: 9. [Ine Z) is a subgroup of GL2(R)…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter7: Real And Complex Numbers

Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers

Problem 10E

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9. [Ine Z) is a subgroup of GL2(R) under multiplication. a) Prove that H = { b) Show that His cyclic.