Question: 6. Let T: P P be the linear operator defined as T(p(x)) = p(3x), and let B = (1,x,x] be the standard basis for

6. Let T: P P be the linear operator defined as T(p(x)) = p(3x), and let B = (1,x,x] be the standard basis for P2- a.). Find [T], the matrix for 7 relative to B. b.) Let p(x) = 1-x+4x2. Determine [p(x)]g, then find T(p(x)) using [T], from part a. c.) Check your answer to part b by evaluating T(1-x+4x) directly.

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