Question: Find a basis for the vector space P3 composed of eigenvectors of the linear transformation T. Then find a matrix representation of T relative to

Find a basis for the vector space P3 composed of eigenvectors of the linear transformation T. Then find a matrix representation of T relative to this basis.
T: P3 → P3,
T(a + bx + cx2 + dx3) = (a + c + d) + (b + c + d)x + (a + b + c)x2 + (a + b + d)x3

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