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Sudhanshu Kumar posted an Question
March 03, 2022 • 17:30 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Which one of the following statements is.correct ? a) there is no vector space of dimension 1 b) any three vectors of a vector space of dimension 3 are linearly
Which one of the following statements is.correct ? A) There is no vector space of dimension 1 B) Any three vectors of a vector space of dimension 3 are linearly independent C) There is one and only one basis of a vector space of finite dimension D) Ifa non zero vector space V is generated by a finite set S, then V can be generated t a linearly independent subset of S 10 Va= (0,0, 1,4, 0), V4= (2, 4, 1,0, 1) and
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Anonymous User![best-answer]()
(a) R(R) is vector space of dimension 1 (b) If one vector is zero then they are LD (c) every vector space has many basis but number of elements in all basis are same so options D