Mathematics - Algebra

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6. In the group (G, .), the value of (a- 1 b)^{- 1} is

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Option : B
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7. If (G, .) is a group, such that (ab)² = a² b² ∀ a, b ∈ G, then G is a/an

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Option : B
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8. (Z,*) is a group with a*b = a+b+1 ∀ a, b ∈Z. The inverse of a is

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Option : D
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9. Let G denoted the set of all n x n non-singular matrices with rational numbers as entries. Then under multiplication G is a/an

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Option : C
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10. Let A be the set of all non-singular matrices over real numbers and let * be the matrix multiplication operator. Then

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Option : D
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