TR_AljabarGrup_AmarSinaga.pdf - NAMA : AMAR PILENON SINAGA...

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NAMA: AMAR PILENON SINAGANIM: 4183230021KELAS: PSM B 2018MATA KULIAH: ALJABAR GRUP1.Perhatikan grup𝑆6. Misalkan?, ?, ? ∈ 𝑆6, dengan? = (123456214365) ; ? = (123456234561)dan? = (123456452136)Hitunglah : a.?(??)b.(??)?c.(??)−1d.?−1?−1Jawaban :1.a.?(??) = (123456214365) [(123456234561) (123456452136)]= (123456214365) (123456563241)= (123456654132)b.(??)? = [(123456214365) (123456234561)] (123456452136)= (123456143652) (123456452136)= (123456654132)
c.(??)−1= [(123456214365) (123456234561)]−1= (123456143652)−1= (123456163254)d.?−1?−1= (123456234561)−1(123456214365)−1= (123456612345) (123456214365)= (123456163256)2.Hitunglah?−1??dimana? = (135)(12)dan? = (1579).Jawaban :? = (1234532541) (1234521345)= (1234523541) = (1235)?−1= (5321)?−1? = (123456789512436789) (123456789523476981)= (123456789312476985)(?−1?)? = (123456789312476985) (123456789235416789)= (123456789127436985)
3.Tulislah? = (123456243651)dalam notasi lingkaran dan kemudian tulislah
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