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Deepak Patra posted an Question
October 18, 2021 • 13:04 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Q.18 consider the vector space v over r of polynomial functions of degree less than or equal to 3 defined on r. let t: v +v be defined by (tf)(r) = f(«) - zf(c)

Q.18 Consider the vector space V over R of polynomial functions of degree less than or equal to 3 defined on R. Let T: V +V be defined by (Tf)(r) = f(«) - zf(c). Then the rank of T i (A) 1 (B) 2 2 (C) 3 (D) 4

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    Navdeep goyal 1

    C check attachment

    cropped336230998968249850.jpg
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    is the matrix representation correct... if correct then i think rank T = 2

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    check matrix rank of matrix is 3 bcz nonzero rows 3

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    check

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    check this method

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