Problem 2. Let F = C and V be the vector space {ao + a1x + ... + anx" : 01, ..., An E C} be the vector space of degree n

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Problem 2. Let F = C and V be the vector space {ao + a1x + ... + anx" : 01, ..., An E C} be the vector space of degree n

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Problem 2 Let F C And V Be The Vector Space Ao A1x Anx 01 An E C Be The Vector Space Of Degree N 1
Problem 2 Let F C And V Be The Vector Space Ao A1x Anx 01 An E C Be The Vector Space Of Degree N 1 (38.62 KiB) Viewed 54 times
Problem 2. Let F = C and V be the vector space {ao + a1x + ... + anx" : 01, ..., An E 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. (I have heard professional mathematicians say that every matrix over C is diagonalizable! This is not true.)
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