Q1. Examine whether or not the following listed subsets form a subgroup. (writeall details)1. H, = {e, (1432), (1234), (13) • (24)},2. H2 = {0,4,8,12,16,20,24,28,32},3. H3 = {r, r3, l4,l3),from the group (P,).from the group (Z36, +36)from the group of symmetric (S3,0)%3D4. H4 = { ),a, b,c € R, a + 0 # c (lower bound)} from the group ofnon-singular matrices (M2x2 (R) X).5. Hg = {x € G: x? = x}, from the abelian group (G,+).%3D

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QI. Examine whether or not the following listed subsets form a subgroup. (write all details) 1. H, = {e, (1432), (1234), (13) • (24)}. 2. H2 = {0,4,8,12,16,20,24,28,32}, 3. H3 = {r, r3, l4,l3}, from the group (P4.9). from the group (Z36, +36) from the group of symmetric (S3,9) 4. H4 = { ),a, b,c € R, a + 0 + c (lower bound)} from the group of %3D %3D %3D %3D non-singular matrices (M2x2 (R) x). 5. H5 = {x € G: x? = x}, from the abelian group (G,+).

QI. Examine whether or not the following listed subsets form a subgroup. (write all details) 1. H, = {e, (1432), (1234), (13) • (24)}. 2. H2 = {0,4,8,12,16,20,24,28,32}, 3. H3 = {r, r3, l4,l3}, from the group (P4.9). from the group (Z36, +36) from the group of symmetric (S3,9) 4. H4 = { ),a, b,c € R, a + 0 + c (lower bound)} from the group of %3D %3D %3D %3D non-singular matrices (M2x2 (R) x). 5. H5 = {x € G: x? = x}, from the abelian group (G,+).

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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