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25-01-2024
Mathematics

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Define T: . ℙ₂→ℙ₂ T(p) = p(0) − p(9)t + p(10)t²
a. Show that T is a linear transformation.
b. Find T(p) when p(t) = − 10 + t. Is p an eigenvector of T?
c. Find the matrix for T relative to the basis {1,t,t² } for ℙ₂

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