please just answer d,e &f Let G =GL2(R).{[::]{[:{[::{[{a(a) Prove that T| a, c, d e R, ad 70is a subgroup of G.=a(b) Prove that D =| a, d e R, ad + 0 } is a subgroup of G.0 da(c) Prove that S =| a, b, c, d e R, bis not a subgroup of G.= CCda(d) Determine whether A| a, b e R} is a subgroup of G.(e) Determine whether B =| b, c eR} is a subgroup of G.1(f) Determine whether C =|d e R, d +0} is a subgroup of G.0 d

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Let G = GL2(R). {[: {[ {[:: a (a) Prove that T = | a, c, d e R, ad #0} is a subgroup of G. d а (b) Prove that D= | a, d e R, ad # 0 is a subgroup of G. d a (c) Prove that S = | a, b, c, d E R, b = c is not a subgroup of G. a (d) Determine whether A = | a, b e R} is a subgroup of G. {[:: {[: : (e) Determine whether B = | b, c eR is a subgroup of G. (f) Determine whether C = |de R, d+ is a subgroup of G. d

Let G = GL2(R). {[: {[ {[:: a (a) Prove that T = | a, c, d e R, ad #0} is a subgroup of G. d а (b) Prove that D= | a, d e R, ad # 0 is a subgroup of G. d a (c) Prove that S = | a, b, c, d E R, b = c is not a subgroup of G. a (d) Determine whether A = | a, b e R} is a subgroup of G. {[:: {[: : (e) Determine whether B = | b, c eR is a subgroup of G. (f) Determine whether C = |de R, d+ is a subgroup of G. d

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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