K is a field, V is the vector space of all polynomials over K, D is the derivative function from V to V and g is a linear function from V to V given by
g(f(x)) = xDf(x).
Find all eigenvalues of g. When are there infinitely many eigenvalues? Please explain in detail.
PLEASE NOTE: it states that g is a linear function from V to V. This means f lies in the domain of g i.e f lies in V. Therefore f is a polynomial and cannot be the exponential function© BrainMass Inc. brainmass.com March 4, 2021, 6:09 pm ad1c9bdddf
Eigenvalues are found. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.