F is a field, and V is F-vector space.
Let F = C and V be the vector space {a0 + a1x + . . . +
anx^n : a1, . . . , an ∈ C} be the vector space of degree n
polynomials. Let T : V → V be given by T(f) = f'. Show that T is
not diagonalizable. Hint: Every matrix over C is not
diagonalizable!
F is a field, and V is F-vector space. Let F = C and V be the vector space {a0 + a1x + . . . + anx^n : a1, . . . , an ∈
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