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Let P2[x] be the vector space of all polynomials over R of degree less than or equal to 2. Let D be the differential operator on P2[x]. Then, matrix of D relative td the basis [x2, 1, x] is equal to
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
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Let P2[x] be the vector space of all polynomials over R of degree less...
Let P2(x) be the vector space of all polynomials over R of degree less than or equal to 2 and D be the differential operator defined on P2[x].
We need to find the matrix of D related to the basis {x3, 1, x} Now

Therefore, the matrix of D related to the basis {x2, 1, x} is 
 
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Let P2[x] be the vector space of all polynomials over R of degree less...
Let P2(x) be the vector space of all polynomials over R of degree less than or equal to 2 and D be the differential operator defined on P2[x].
We need to find the matrix of D related to the basis {x3, 1, x} Now

Therefore, the matrix of D related to the basis {x2, 1, x} is 
 
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Let P2[x] be the vector space of all polynomials over R of degree less than or equal to 2. Let D be the differential operator on P2[x]. Then, matrix of D relative td the basis [x2, 1, x] is equal toa)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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