MathDB
Problem 91

Source:

July 1, 2010
algebrapolynomiallinear algebramatrix

Problem Statement

Find the Jordan normal form of the operator ed/dte^{d/dt} in the space of quasi-polynomials {eλtp(t)}\{e^{\lambda t}p(t)\} where the degree of the polynomial pp is less than 55, and of the operator adA\text{ad}_A, B↦[A,B]B\mapsto [A, B], in the space of n×nn\times n matrices BB, where AA is a diagonal matrix.
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