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Let  be the vector space (over R)  of all polynomials of degree ≤ 3 with real coefficients. Consider the linear transformation T: P → P defined by 
Then the matrix representation M of T  with respect to the ordered basis {1, x, x2, x2 }satisfies 
  • a)
    M2 + I4 = 0
  • b)
    M2 - I4 = 0
  • c)
    M + I4 = 0
  • d)
    M - I4 = 0
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Let  be the vector space (over R) of all polynomials of degree ...
B
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Let  be the vector space (over R) of all polynomials of degree ≤ 3with real coefficients. Consider the linear transformation T: P → P defined byThen the matrix representation M ofT with respect to the ordered basis {1, x, x2, x2 }satisfiesa)M2+ I4= 0b)M2-I4= 0c)M+ I4= 0d)M-I4= 0Correct answer is option 'B'. Can you explain this answer?
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Let  be the vector space (over R) of all polynomials of degree ≤ 3with real coefficients. Consider the linear transformation T: P → P defined byThen the matrix representation M ofT with respect to the ordered basis {1, x, x2, x2 }satisfiesa)M2+ I4= 0b)M2-I4= 0c)M+ I4= 0d)M-I4= 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  be the vector space (over R) of all polynomials of degree ≤ 3with real coefficients. Consider the linear transformation T: P → P defined byThen the matrix representation M ofT with respect to the ordered basis {1, x, x2, x2 }satisfiesa)M2+ I4= 0b)M2-I4= 0c)M+ I4= 0d)M-I4= 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  be the vector space (over R) of all polynomials of degree ≤ 3with real coefficients. Consider the linear transformation T: P → P defined byThen the matrix representation M ofT with respect to the ordered basis {1, x, x2, x2 }satisfiesa)M2+ I4= 0b)M2-I4= 0c)M+ I4= 0d)M-I4= 0Correct answer is option 'B'. Can you explain this answer?.
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