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A: Here, let F=5x,4y,-2z⇒div F=∂(5x)∂x+∂(4y)∂y+∂(-2z)∂z=5+4-2=7
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A: Note: The second question has only sets you did not add what to find. So, solved first for you.
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A: We can answer the question as per the graph in the following steps.
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A: Answer: The solution is given below:
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A: Topic:- algebra
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- Let G be a group of order pq, where p and q are primes. Prove that any nontrivial subgroup of G is cyclic.Let A={ a,b,c }. Prove or disprove that P(A) is a group with respect to the operation of union. (Sec. 1.1,7c)45. Let . Prove or disprove that is a group with respect to the operation of intersection. (Sec. )
- Let be a group of order , where and are distinct prime integers. If has only one subgroup of order and only one subgroup of order , prove that is cyclic.Label each of the following statements as either true or false. Two groups can be isomorphic even though their group operations are different.4. Prove that the special linear group is a normal subgroup of the general linear group .