Rashmi Asked a Question
December 17, 2020 10:54 ampts 30 pts
Example: Let V be the set of all pairs (x, y) of real number, and let F be the field of real no. (x y)+(X, Y,)= (3y + 3y,,-x- x,) cx, y)= (3cy, - cx) Verify that V, with these operations is not a vector space over the field of real number Solution: Take a = (1, 2), p = (2, 3), y = (1, 3) Then (a+B)+7 = {(1, 2) + (2, 3)) + (1, 3) = (15,-3)+ (1, 3) = (0, -16) a+ (B+ ) = (1, 2) + {(2, 3) + (1, 3)) = (1, 2)+ (18, -3)= (-3, -19) Thus we conclude that in general 1)इस que मे 3 vector क्यू consider किये aur associativity property ही kyu check किये. 2) दुसरी method bhi btao
  • 1 Answer(s)
  • 0 Likes
  • 4 Comments
  • Shares
  • Rashmi
    solutions
    • cropped735045544937129020.jpg
    Likes(0) Reply(0)
  • Rashmi
    want solution where to get solution
    • cropped1499024246569309557.jpg
    Likes(0) Reply(0)
  • Anonymous User
    what the other properties??
    Likes(0) Reply(0)
  • Anonymous User thankyou
    If any one of properties fails in the following properties then it will not be vector space . so this example fails associtiave law . hence it is not a vector space .
    • cropped7045603153465406453.jpg
    • cropped4776596427493278618.jpg
    Likes(0) Reply(2)
    Rashmi
    know the properties of vector but kya hmm dusri property check nhi kr skte kya agar yes to solution btao