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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

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
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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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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