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Let P be the vector space over all polynomials of degree less than 3 with real coefficients. Consider the linear transformation T : P → P defined by
T(a0 + a1x + a2x2 + a3x3) = a3 + a2x + a1x2 + a0x3
Then the matrix representation of M of T with respect to the ordered basis {1, x, x2,x3} satisfies 
  • a)
    M2 + I4 = 0
  • b)
    M2 - l4 = 0
  • c)
    M - I4
  • d)
    M + l4 = 0
Correct answer is option 'B'. Can you explain this answer?
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Let P be the vector space over all polynomials of degree less than 3 ...
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Let P be the vector space over all polynomials of degree less than 3 with real coefficients. Consider the linear transformation T : P → P defined byT(a0 + a1x + a2x2 + a3x3) = a3 + a2x + a1x2 + a0x3Then the matrix representation of M of T with respect to the ordered basis {1, x,x2,x3} satisfiesa)M2 + I4 = 0b)M2 - l4 = 0c)M - I4d)M + l4 = 0Correct answer is option 'B'. Can you explain this answer?
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Let P be the vector space over all polynomials of degree less than 3 with real coefficients. Consider the linear transformation T : P → P defined byT(a0 + a1x + a2x2 + a3x3) = a3 + a2x + a1x2 + a0x3Then the matrix representation of M of T with respect to the ordered basis {1, x,x2,x3} satisfiesa)M2 + I4 = 0b)M2 - l4 = 0c)M - I4d)M + l4 = 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 Let P be the vector space over all polynomials of degree less than 3 with real coefficients. Consider the linear transformation T : P → P defined byT(a0 + a1x + a2x2 + a3x3) = a3 + a2x + a1x2 + a0x3Then the matrix representation of M of T with respect to the ordered basis {1, x,x2,x3} satisfiesa)M2 + I4 = 0b)M2 - l4 = 0c)M - I4d)M + l4 = 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 Let P be the vector space over all polynomials of degree less than 3 with real coefficients. Consider the linear transformation T : P → P defined byT(a0 + a1x + a2x2 + a3x3) = a3 + a2x + a1x2 + a0x3Then the matrix representation of M of T with respect to the ordered basis {1, x,x2,x3} satisfiesa)M2 + I4 = 0b)M2 - l4 = 0c)M - I4d)M + l4 = 0Correct answer is option 'B'. Can you explain this answer?.
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