MATH307 April 2006
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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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Given that the basis is
Then an arbitrary vector is
The applies to all terms of can write the matrix A to be:
where D is the differentiation matrix
Now we observe the linear trasnformation on
therefore can be rewritten as
The transformation is therefore