Question 1172351: Solve the following questions:
(i) How many abelian groups of order 36 are there upto isomorphism?
(ii) If f = u + iv is analytic when u = Sin(x).Cosh(y) then what is the value of v?
(iii) If we have homogeous system of 5 linear equations and 7 unknown and the rank of co efficient of matrix is 4. Find the maximum number of independent solution vectors?
(iv) Find the remainder of (3)^20 divided by 7?
(v) What are the factors of x^4 + 1 and x^6 + 1?
Found 2 solutions by Solver92311, ikleyn:
Answer by Solver92311(821)   (Show Source):
Answer by ikleyn(52879)  (Show Source):
You can put this solution on YOUR website! .
Hello, every question, packed in your post, requires explanations like a separate chapter in a textbook.
When I see so many questions, packed/collected randomly in one post, I start thinking
whether the time just came to open a Psychic clinic at this forum ?
/\/\/\/\/\/\/\/\/
But do not worry (!)
We will not open such an establishment at the forum.
Instead, I will delete such posts, by keeping a proper order at the forum.
Such multi-tasking questions / (multi-tasking problems) are PROHIBITED at the forum.
It is written in this page
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from which you post your problems.
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It is also assumed that you do understand what is written in that page and follow the rules.
Those who violate them, work against their own interests.
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Hope, after so polite and detailed explanations, everything is crystally clear to you . . .
Have a nice holiday season and stay safe . . .
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