Question
Suppose that T L(V ) and dim(im(T)) = 1. (a) Prove that T must be either diagonalizable or nilpotent. (Hint: Find the possible Jordan forms
Suppose that T L(V ) and dim(im(T)) = 1. (a) Prove that T must be either diagonalizable or nilpotent. (Hint: Find the possible Jordan forms of T.) (b) Give examples to show that each of the conclusions of (a) is possible with dim(im(T)) = 1.
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Financial Algebra advanced algebra with financial applications
Authors: Robert K. Gerver
1st edition
978-1285444857, 128544485X, 978-0357229101, 035722910X, 978-0538449670
