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Rashmi posted an Question
December 17, 2020 • 16:24 pm 30 points
  • CSIR NET
  • Mathematical Sciences

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 tha

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

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  • Anonymous User best-answer

    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 .

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    know the properties of vector but kya hmm dusri property check nhi kr skte kya agar yes to solution btao

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    properties to aapko sbhi check krni h one by one ....vo to aap jitni practice kroge tb vese vese aapko idea hone lg jayega ki konsi property fail ho skti h .....baaki aap sbhi properties check kro isme .......or exam me agr ek bhi properties fail hoti h to aage kyu check krni h ....vahi se clear ho jaye ki ye Vector space ni bnayega

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