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Let G be the set of all 2 x 2 matrices
where ad ≠ 0 under matrix multiplication and 
where a, b, c, d are real number, then which of the following statements is/are correct?
where ad ≠ 0 under matrix multiplication and where a, b, c, d are real number, then which of the following statements is/are correct?- a)N is not a subgroup of G.
- b)N is a subgroup of G.
- c)N is normal in G.
- d)N is not normal in G.
Correct answer is option 'B,C'. Can you explain this answer?
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Verified Answer
Let G be the set of all 2 x 2 matriceswhere ad ≠ 0 under matrixmult...
In the given set G of all 2 x 2 matrices 
where ad ≠ 0 under matrix multiplication and 
Where a, b, d are real numbers, the N will be a subgroup of G and according to the definition of normal subgroup. A subgroup H of a group G is said to be a normal subgroup of G if for every x ∈ G and for every h ∈ H, xHx-1 ∈ H, so here, N is a subgroup of G and N will be normal in G.
Where a, b, d are real numbers, the N will be a subgroup of G and according to the definition of normal subgroup. A subgroup H of a group G is said to be a normal subgroup of G if for every x ∈ G and for every h ∈ H, xHx-1 ∈ H, so here, N is a subgroup of G and N will be normal in G.Most Upvoted Answer
Let G be the set of all 2 x 2 matriceswhere ad ≠ 0 under matrixmult...
In the given set G of all 2 x 2 matrices 
where ad ≠ 0 under matrix multiplication and 
Where a, b, d are real numbers, the N will be a subgroup of G and according to the definition of normal subgroup. A subgroup H of a group G is said to be a normal subgroup of G if for every x ∈ G and for every h ∈ H, xHx-1 ∈ H, so here, N is a subgroup of G and N will be normal in G.
Where a, b, d are real numbers, the N will be a subgroup of G and according to the definition of normal subgroup. A subgroup H of a group G is said to be a normal subgroup of G if for every x ∈ G and for every h ∈ H, xHx-1 ∈ H, so here, N is a subgroup of G and N will be normal in G.Free Test
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Let G be the set of all 2 x 2 matriceswhere ad ≠ 0 under matrixmult...
In the given set G of all 2 x 2 matrices
where ad ≠ 0 under matrix multiplication and Where a, b, d are real numbers, the N will be a subgroup of G and according to the definition of normal subgroup. A subgroup H of a group G is said to be a normal subgroup of G if for every x ∈ G and for every h ∈ H, xHx-1 ∈ H, so here, N is a subgroup of G and N will be normal in G.
Where a, b, d are real numbers, the N will be a subgroup of G and according to the definition of normal subgroup. A subgroup H of a group G is said to be a normal subgroup of G if for every x ∈ G and for every h ∈ H, xHx-1 ∈ H, so here, N is a subgroup of G and N will be normal in G.
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Let G be the set of all 2 x 2 matriceswhere ad ≠ 0 under matrixmultiplication andwhere a, b, c, d are real number, then which of the following statements is/are correct?a)N is not a subgroup of G.b)N is a subgroup of G.c)N is normal in G.d)N is not normal in G.Correct answer is option 'B,C'. Can you explain this answer?
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