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Let V be the vector space of all 6 × 6 real matrices over the field . Then the dimension of the subspace of V consisting of all symmetric matrices is
  • a)
    15 
  • b)
    21 
  • c)
    18 
  • d)
    35
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let V be the vector space of all 6 × 6 real matrices over the fi...
Null space is also a subspace. We known that the dimension of Null space consisting of n × n symmetric matrices is

For particular n = 6, dim of Null space =
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Let V be the vector space of all 6 × 6 real matrices over the fi...
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Let V be the vector space of all 6 × 6 real matrices over the field . Then the dimension of the subspace of V consisting of all symmetric matrices isa)15b)21c)18d)35Correct answer is option 'B'. Can you explain this answer?
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