Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question

Transcribed Image Text:1. Given a linear operator on a vector space V, any vector v other than the zero
vector satisfying T(v)=2v is an eigenvector of T. True or False?
2. The sum of two eigenvalues of a linear transformation is again an
eigenvalue. True or False?
3. The sum of two eigenvectors of a linear operator which correspond to the
same eigenvalue is again an eigenvector. True or False?
4. The sum of any two eigenvectors of a linear operator T is again an
eigenvector. True or False?
5. The number 0 can never be an eigenvalue of a linear operator. True or
False?
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