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  3. let?:?2(r)??1(r)bedefinedby?(?+?x+?x2)=(?+?)+(???)

Let?:?2(R)??1(R)bedefinedby?(?+?x+?x2)=(?+?)+(???)x,where ?, ?, ? are arbitrary constants. a. DeterminethetransformationmatrixforT.(6pts) b. Find the basis and the dimension of the...

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Basic Math

  1. Let?:?2(R)??1(R)bedefinedby?(?+?x+?x2)=(?+?)+(???)x,where?, ?, ? are arbitrary constants.
    a. DeterminethetransformationmatrixforT.(6pts)
    b. Find the basis and the dimension of the Kernel of T. (10pts)

    c. Find the basis and the dimension of the Range of T. (10pts)d. Determine if T is one-to-one. (7pts)
    e. DetermineifTisonto.(7pts)

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Solutionis defined by aLetand be the basis for andThe transformation matrix for    See Answer
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