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For a positive integer n, let Pn denote the space of all polynomials P(x) with coefficients in R such that degree P(x) ≤ n and let Bn denote the standard basis of Pn given by Bn
If T : P3 ---> P4 is the linear transformation defined by  and A = (aij) is the 5 x 4 matrix of T with respect to the standard bases B3 and B4 then
  • a)
    a32 = 3/2 and a33 = 7/3
  • b)
    a32 = 3/2 and a33 = 0
  • c)
    a32 = 0 and a33 = 7/3
  • d)
    a32 = 0 and a33 = 0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
For a positive integer n, let Pn denote the space of all polynomials P...
For a positive integer n, let Pn denote the space of all polynomials P(x) with coefficients in M such that degree P(x) ≤ n and let Bn denote the standard basis of Pn given by Bn = {1, x, x2,....., xn}
If T : P3---->P4 is a linear transformation defined by
T(P(x)) = x2P'(x) +
and A = (aij) is the 5 x 4 matrix of T with respect to the standard bases B3 and B4


Hence, the matrix of T related to the basis
Hence a32 = 3/2 and a33 = 0
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For a positive integer n, let Pn denote the space of all polynomials P...
For a positive integer n, let Pn denote the space of all polynomials P(x) with coefficients in M such that degree P(x) ≤ n and let Bn denote the standard basis of Pn given by Bn = {1, x, x2,....., xn}
If T : P3---->P4 is a linear transformation defined by
T(P(x)) = x2P'(x) +
and A = (aij) is the 5 x 4 matrix of T with respect to the standard bases B3 and B4


Hence, the matrix of T related to the basis
Hence a32 = 3/2 and a33 = 0
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Community Answer
For a positive integer n, let Pn denote the space of all polynomials P...
For a positive integer n, let Pn denote the space of all polynomials P(x) with coefficients in M such that degree P(x) ≤ n and let Bn denote the standard basis of Pn given by Bn = {1, x, x2,....., xn}
If T : P3---->P4 is a linear transformation defined by
T(P(x)) = x2P'(x) +
and A = (aij) is the 5 x 4 matrix of T with respect to the standard bases B3 and B4


Hence, the matrix of T related to the basis
Hence a32 = 3/2 and a33 = 0
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For a positive integer n, let Pn denote the space of all polynomials P(x)with coefficients in R such that degree P(x) ≤ n and let Bn denote the standard basis of Pn given by Bn=If T : P3---> P4 is the linear transformation defined by and A = (aij) is the 5 x 4 matrix of T with respect to the standard bases B3 and B4 thena)a32 = 3/2and a33= 7/3b)a32 = 3/2and a33= 0c)a32 = 0and a33= 7/3d)a32 = 0and a33= 0Correct answer is option 'B'. Can you explain this answer?
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For a positive integer n, let Pn denote the space of all polynomials P(x)with coefficients in R such that degree P(x) ≤ n and let Bn denote the standard basis of Pn given by Bn=If T : P3---> P4 is the linear transformation defined by and A = (aij) is the 5 x 4 matrix of T with respect to the standard bases B3 and B4 thena)a32 = 3/2and a33= 7/3b)a32 = 3/2and a33= 0c)a32 = 0and a33= 7/3d)a32 = 0and a33= 0Correct answer is option 'B'. 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 For a positive integer n, let Pn denote the space of all polynomials P(x)with coefficients in R such that degree P(x) ≤ n and let Bn denote the standard basis of Pn given by Bn=If T : P3---> P4 is the linear transformation defined by and A = (aij) is the 5 x 4 matrix of T with respect to the standard bases B3 and B4 thena)a32 = 3/2and a33= 7/3b)a32 = 3/2and a33= 0c)a32 = 0and a33= 7/3d)a32 = 0and a33= 0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a positive integer n, let Pn denote the space of all polynomials P(x)with coefficients in R such that degree P(x) ≤ n and let Bn denote the standard basis of Pn given by Bn=If T : P3---> P4 is the linear transformation defined by and A = (aij) is the 5 x 4 matrix of T with respect to the standard bases B3 and B4 thena)a32 = 3/2and a33= 7/3b)a32 = 3/2and a33= 0c)a32 = 0and a33= 7/3d)a32 = 0and a33= 0Correct answer is option 'B'. Can you explain this answer?.
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