JEE Exam  >  JEE Questions  >  Given below is binary composition table a* b ... Start Learning for Free
Given below is binary composition table a* b = LCM of a and b on S = { 1,2,3,4}. Then, from the table determine which one of these options is correct.
  • a)
    a* b is a distributive binary operation
  • b)
    a* b is an associative binary operation
  • c)
    a* b is not a binary operation
  • d)
    a* b is a commutative binary operation
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Given below is binary composition table a* b = LCM of a and b on S = {...
We have ∗ is defined on the set {1,2,3,4,5}  by a∗b = LCM of a and b
Now, 3∗4 = LCM of 3 and 4=12
But, 12 does not belong to {1,2,3,4,5}.
Hence, ′∗′ is not a binary operation.
View all questions of this test
Most Upvoted Answer
Given below is binary composition table a* b = LCM of a and b on S = {...
Free Test
Community Answer
Given below is binary composition table a* b = LCM of a and b on S = {...
We have ∗ is defined on the set {1,2,3,4,5}  by a∗b = LCM of a and b
Now, 3∗4 = LCM of 3 and 4=12
But, 12 does not belong to {1,2,3,4,5}.
Hence, ′∗′ is not a binary operation.
Explore Courses for JEE exam

Similar JEE Doubts

Introduction:To find the inverse of a matrix A using elementary transformations, we need to perform a series of row operations until A is transformed into the identity matrix I. Simultaneously, we perform the same row operations on the identity matrix I and obtain the inverse matrix A^-1.Given Matrix:A = [1 2 2 -1]Augmented Matrix:We will augment the given matrix A with the identity matrix I as follows:[A | I] = [1 2 2 -1 | 1 0 0 1]Row Operations:Perform the following row operations to transform A into I:1. R2 = R2 - 2R1[A | I] = [1 2 2 -1 | 1 0 0 1] [0 -2 -2 1 | -2 0 0 0] 2. R2 = -1/2R2[A | I] = [1 2 2 -1 | 1 0 0 1] [0 1 1/2 -1/2 | 1 0 0 0] 3. R1 = R1 - 2R2[A | I] = [1 0 1 -2 | -1 0 0 1] [0 1 1/2 -1/2 | 1 0 0 0] 4. R1 = R1 + R2[A | I] = [1 0 3/2 -5/2 | 0 0 0 1] [0 1 1/2 -1/2 | 1 0 0 0] Final Result:After performing the row operations, the matrix A is transformed into the identity matrix I. The inverse matrix A^-1 is given by the augmented matrix on the right side:A^-1 = [0 0 0 1 | 0 0 0 1] [0 1 1/2 -1/2 | 1 0 0 0]Explanation:By using elementary transformations, we performed a series of row operations on the given matrix A to transform it into the identity matrix I. Simultaneously, we performed the same row operations on the identity matrix I to obtain the inverse matrix A^-1. These row operations include adding or subtracting multiples of one row from another and multiplying a row by a constant. These operations ensure that the resulting matrix A^-1, when multiplied with the original matrix A, yields the identity matrix I. Therefore, A^-1 is the inverse of matrix A.

Given below is binary composition table a* b = LCM of a and b on S = { 1,2,3,4}. Then, from the table determine which one of these options is correct. ​a)a* b is a distributive binary operationb)a* b is an associative binary operationc)a* b is not a binary operationd)a* b is a commutative binary operationCorrect answer is option 'C'. Can you explain this answer?
Question Description
Given below is binary composition table a* b = LCM of a and b on S = { 1,2,3,4}. Then, from the table determine which one of these options is correct. ​a)a* b is a distributive binary operationb)a* b is an associative binary operationc)a* b is not a binary operationd)a* b is a commutative binary operationCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Given below is binary composition table a* b = LCM of a and b on S = { 1,2,3,4}. Then, from the table determine which one of these options is correct. ​a)a* b is a distributive binary operationb)a* b is an associative binary operationc)a* b is not a binary operationd)a* b is a commutative binary operationCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given below is binary composition table a* b = LCM of a and b on S = { 1,2,3,4}. Then, from the table determine which one of these options is correct. ​a)a* b is a distributive binary operationb)a* b is an associative binary operationc)a* b is not a binary operationd)a* b is a commutative binary operationCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Given below is binary composition table a* b = LCM of a and b on S = { 1,2,3,4}. Then, from the table determine which one of these options is correct. ​a)a* b is a distributive binary operationb)a* b is an associative binary operationc)a* b is not a binary operationd)a* b is a commutative binary operationCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Given below is binary composition table a* b = LCM of a and b on S = { 1,2,3,4}. Then, from the table determine which one of these options is correct. ​a)a* b is a distributive binary operationb)a* b is an associative binary operationc)a* b is not a binary operationd)a* b is a commutative binary operationCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Given below is binary composition table a* b = LCM of a and b on S = { 1,2,3,4}. Then, from the table determine which one of these options is correct. ​a)a* b is a distributive binary operationb)a* b is an associative binary operationc)a* b is not a binary operationd)a* b is a commutative binary operationCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Given below is binary composition table a* b = LCM of a and b on S = { 1,2,3,4}. Then, from the table determine which one of these options is correct. ​a)a* b is a distributive binary operationb)a* b is an associative binary operationc)a* b is not a binary operationd)a* b is a commutative binary operationCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Given below is binary composition table a* b = LCM of a and b on S = { 1,2,3,4}. Then, from the table determine which one of these options is correct. ​a)a* b is a distributive binary operationb)a* b is an associative binary operationc)a* b is not a binary operationd)a* b is a commutative binary operationCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Given below is binary composition table a* b = LCM of a and b on S = { 1,2,3,4}. Then, from the table determine which one of these options is correct. ​a)a* b is a distributive binary operationb)a* b is an associative binary operationc)a* b is not a binary operationd)a* b is a commutative binary operationCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
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