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 DIf L is an eigenvector and N is a vector in the null space of a matrix A, then L + N will be an eigenvector DA 3 x 3 matrix always has at least one real eigenvalue DAll 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
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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
DIf L is an eigenvector and N is a vector in the null space of a matrix A, then L + N will be an eigenvector
DA 3 x 3 matrix always has at least one real eigenvalue
DAll rotation matrices in 2D have real eigenvalues
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 DIf L is an eigenvector and N is a vector in the null space of a matrix A, then L + N will be an eigenvector DA 3 x 3 matrix always has at least one real eigenvalue DAll rotation matrices in 2D have real eigenvalues
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