Question: Q3. (10 points) Suppose that T : V - V is a linear map with two eigenvalues and eigenvectors T(vl) = Aivi and T(v2) =

Q3. (10 points) Suppose that T : V - V is a linear map with two eigenvalues and eigenvectors T(vl) = Aivi and T(v2) = 12v2 such that 1 # 12. Prove that the eigenvectors {v1, v2} are linearly independent. Q4. (10 points) Let V = P4(R) be the vector space of real polynomials of degree d

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