10. Give an example of a linear operator T such that T is not nilpotent but zero is the only eigenvalue of T. Characterize all such transformations. Definition. An n x n matrix A is called nilpotent if AP equals the n x n zero matrix for some positive integer p.

10. Give an example of a linear operator T such that T is not nilpotent but zero is the only eigenvalue of T. Characterize all such transformations. Definition. An n x n matrix A is called nilpotent if AP equals the n x n zero matrix for some positive integer p.

Name: Please see image 10. Give an example of a linear operator T such that
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Description: Please see image 10. Give an example of a linear operator T such that T is not nilpotent but zerois the only eigenvalue of T. Characterize all such transformations.Definition. An n x n matrix A is called nilpotent if AP equals the n x nzero matrix fo