Problem 5. (15=5+10 points) Let Pn be the vector space of polynomials of degree at most n. Define a transformation T on

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Problem 5. (15=5+10 points) Let Pn be the vector space of polynomials of degree at most n. Define a transformation T on

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Problem 5 15 5 10 Points Let Pn Be The Vector Space Of Polynomials Of Degree At Most N Define A Transformation T On 1
Problem 5 15 5 10 Points Let Pn Be The Vector Space Of Polynomials Of Degree At Most N Define A Transformation T On 1 (117.64 KiB) Viewed 25 times
Problem 5. (15=5+10 points) Let Pn be the vector space of polynomials of degree at most n. Define a transformation T on P3 by T(p(t)) = p(t − 1) + 3p(0) (for example, T(t² + 2) = ((t-1)² + 2) +3-2=t² - 2t +9). (1) Prove that T is a linear transformation on P3. (2) Find the eigenvalues and corresponding eigenspaces for T.
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