Which of the following is true? Select all possible answers. The sum of two eigenvectors is always an eigenvector |The scalar multiple of an eigenvector is always an eigenvector If Lis an eigenvector and N is a vector in the null space of a matrix A then L+ Nwill be an eigenvector A 3 x 3matrix always has at least one real eigenvalue | All rotation matrices in 2D have real eigenvalues
Which of the following is true? Select all possible answers. The sum of two eigenvectors is always an eigenvector |The scalar multiple of an eigenvector is always an eigenvector If Lis an eigenvector and N is a vector in the null space of a matrix A then L+ Nwill be an eigenvector A 3 x 3matrix always has at least one real eigenvalue | All rotation matrices in 2D have real eigenvalues
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Which of the following is true?
Select all possible answers.
The sum of two eigenvectors is always an eigenvector
The scalar multiple of an eigenvector is always an eigenvector
If Lis an eigenvector and N is a vector in the null space of a matrix A then L+ Nwill be an eigenvector
A 3 x 3matrix always has at least one real eigenvalue
All rotation matrices in 2D have real eigenvalues
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