TRUE, S if it is SOMETIMES TRUE or F if it is FALSE. Please answer 1,2,3,4 and 5. 1.If D has no zero divisors and ab=0 in D, then a and b are both nonzero elements of D. 2. If F is a field, then F has at least 2 distinct elements. 3. If D is a UFD, then D is a PID.

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A: Given that If A and B are sets and A=B then A and B cannot be disjoint.

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A: a2-b2≠4c+2 we have to prove this relation in three cases like a&lt;b,a&gt;b and a=b

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A: The problem concerns the commutativity properties of the exponentials of square matrices

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Q: Let c- 0 2

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Q: d = (a, b, c).

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Q: 2. Let f and g be any permutations. Show that the order of h = fgf- is the same as the order of g.

A: Here f and g are tow permutations  and we are given that h=fgf-1. We have to show that both f and g…

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A: Explanation of the answer is as follows

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A: We apply property of GCD to solve the problem

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Q: Let |4|= 3m and B|= 4 , then |4 B| is m=3.6 إجابتك

A: Given that |A|=3m and |B|=4 find A-1B also m=3.6