Science:Math Exam Resources/Courses/MATH307/April 2006/Question 03 (c)
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Question 03 (c) 

Let be the set of all polynomials of degree at most 2. Find the transformation matrix A such that using the B as the basis for 
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Hint 

Science:Math Exam Resources/Courses/MATH307/April 2006/Question 03 (c)/Hint 1 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Given that the basis is If Then an arbitrary vector is The applies to all terms of can write the matrix A to be:
where D is the differentiation matrix
Therefore Now we observe the linear trasnformation on
therefore can be rewritten as The transformation is therefore
