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Let V be a vector space of all 30 x 30, real matrices over the field R. and w be a subset of V, defined as  Then which of the following(s) is/are correct for W ?
  • a)
    W is a vector subspace
  • b)
    W not a vector subspace
  • c)
    dim W = 30
  • d)
    dim W is not defined
Correct answer is option 'B,D'. Can you explain this answer?
Verified Answer
Let V be a vector space of all 30 x 30, real matrices over the field R...
Here clearly W not a subspace so its dim will not defined since neither vector addition nor scalar multiplication is defined on W.
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Let V be a vector space of all 30 x 30, real matrices over the field R. and w bea subset of V, defined asThenwhich of the following(s) is/are correct for W ?a)W is a vector subspaceb)W not a vector subspacec)dim W = 30d)dim W is not definedCorrect answer is option 'B,D'. Can you explain this answer?
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