Prove that each of the following subsets H of M2(R) is a subgroup of the group G ofall invertible matrices in M2(R) under multiplication.-ba² + b² # 01aс. Н —Dbd. Hb +a

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Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 15E: 15. Prove that each of the following subsets of is subgroup of the group ,the general linear...

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Prove that each of the following subsets H of M2(R) is a subgroup of the group G of all invertible matrices in M2(R) under multiplication. {[: {[: :]•} а с. Н %3D b a + b + 0 b + 0 b. d. H = %3D a