Mathematics Exam  >  Mathematics Questions  >  Let F be a field with five elements and let K... Start Learning for Free
Let F be a field with five elements and let K={{a, b) | a, b ε F} with the binary operations defined componentwise. Then
  • a)
    K is not a field
  • b)
    K is a field with 5 elements
  • c)
    K is a field with 25 elements
  • d)
    K is a field with 32 elements
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let F be a field with five elements and let K={{a, b) | a, b ε...
We know that

where p(r) =Number of partitions of the set.
View all questions of this test
Most Upvoted Answer
Let F be a field with five elements and let K={{a, b) | a, b ε...
We know that

where p(r) =Number of partitions of the set.
Free Test
Community Answer
Let F be a field with five elements and let K={{a, b) | a, b ε...
Should be A, since multiplicative inverse of (x,0) will not exist.
Explore Courses for Mathematics exam
Let F be a field with five elements and let K={{a, b) | a, b ε F} with the binary operations defined componentwise. Thena)K is not a fieldb)K is a field with 5 elementsc)K is a field with 25 elementsd)K is a field with 32 elementsCorrect answer is option 'C'. Can you explain this answer?
Question Description
Let F be a field with five elements and let K={{a, b) | a, b ε F} with the binary operations defined componentwise. Thena)K is not a fieldb)K is a field with 5 elementsc)K is a field with 25 elementsd)K is a field with 32 elementsCorrect answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let F be a field with five elements and let K={{a, b) | a, b ε F} with the binary operations defined componentwise. Thena)K is not a fieldb)K is a field with 5 elementsc)K is a field with 25 elementsd)K is a field with 32 elementsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let F be a field with five elements and let K={{a, b) | a, b ε F} with the binary operations defined componentwise. Thena)K is not a fieldb)K is a field with 5 elementsc)K is a field with 25 elementsd)K is a field with 32 elementsCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Let F be a field with five elements and let K={{a, b) | a, b ε F} with the binary operations defined componentwise. Thena)K is not a fieldb)K is a field with 5 elementsc)K is a field with 25 elementsd)K is a field with 32 elementsCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of Let F be a field with five elements and let K={{a, b) | a, b ε F} with the binary operations defined componentwise. Thena)K is not a fieldb)K is a field with 5 elementsc)K is a field with 25 elementsd)K is a field with 32 elementsCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let F be a field with five elements and let K={{a, b) | a, b ε F} with the binary operations defined componentwise. Thena)K is not a fieldb)K is a field with 5 elementsc)K is a field with 25 elementsd)K is a field with 32 elementsCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Let F be a field with five elements and let K={{a, b) | a, b ε F} with the binary operations defined componentwise. Thena)K is not a fieldb)K is a field with 5 elementsc)K is a field with 25 elementsd)K is a field with 32 elementsCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Let F be a field with five elements and let K={{a, b) | a, b ε F} with the binary operations defined componentwise. Thena)K is not a fieldb)K is a field with 5 elementsc)K is a field with 25 elementsd)K is a field with 32 elementsCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let F be a field with five elements and let K={{a, b) | a, b ε F} with the binary operations defined componentwise. Thena)K is not a fieldb)K is a field with 5 elementsc)K is a field with 25 elementsd)K is a field with 32 elementsCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mathematics tests.
Explore Courses for Mathematics exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev