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Let V = {p(x) : p(x) ≠ 0 and p(x) of degree 2} be a set of all non-zero polynomial in x of degree 2 is not a vector space, because of 
  • a)
    V is not closed under addition
  • b)
    V is not closed with respect to scalar multiplication 
  • c)
    Identity element does not exists in V.
  • d)
    Commutative property does not hold in V 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let V = {p(x) : p(x) ≠ 0 and p(x) of degree 2} be a set of all non-...
Since V is a set of non-zero polynomials in x, so additive identity does not exist.
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Let V = {p(x) : p(x) ≠ 0 and p(x) of degree 2} be a set of all non-zero polynomial in x of degree 2 is not a vector space, because ofa)V is not closed under additionb)V is not closed with respect to scalar multiplicationc)Identity element does not exists in V.d)Commutative property does not hold in VCorrect answer is option 'C'. Can you explain this answer?
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Let V = {p(x) : p(x) ≠ 0 and p(x) of degree 2} be a set of all non-zero polynomial in x of degree 2 is not a vector space, because ofa)V is not closed under additionb)V is not closed with respect to scalar multiplicationc)Identity element does not exists in V.d)Commutative property does not hold in VCorrect answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let V = {p(x) : p(x) ≠ 0 and p(x) of degree 2} be a set of all non-zero polynomial in x of degree 2 is not a vector space, because ofa)V is not closed under additionb)V is not closed with respect to scalar multiplicationc)Identity element does not exists in V.d)Commutative property does not hold in VCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let V = {p(x) : p(x) ≠ 0 and p(x) of degree 2} be a set of all non-zero polynomial in x of degree 2 is not a vector space, because ofa)V is not closed under additionb)V is not closed with respect to scalar multiplicationc)Identity element does not exists in V.d)Commutative property does not hold in VCorrect answer is option 'C'. Can you explain this answer?.
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