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1: Let F: R² R2 be the counterclockwise rotation with angle /3, Which of the following applies?. A) F has at least one eigenvector v0. B) The zero vector is an eigenvector of F, but F has no other eigenvectors. C) F has no eigenvectors. D) Each vector in R² is an eigenvector of F.

1: Let F: R² R2 be the counterclockwise rotation with angle /3, Which of the following applies?. A) F has at least one eigenvector v0. B) The zero vector is an eigenvector of F, but F has no other eigenvectors. C) F has no eigenvectors. D) Each vector in R² is an eigenvector of F.

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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1: Let F: R² R2 be the counterclockwise rotation with angle π/3, Which of the following applies?. A) F has at least one eigenvector V v = 0. B) The zero vector is an eigenvector of F, but F has no other eigenvectors. C) F has no eigenvectors. D) Each vector in R2 is an eigenvector of F.
Transcribed Image Text:1: Let F: R² R2 be the counterclockwise rotation with angle π/3, Which of the following applies?. A) F has at least one eigenvector V v = 0. B) The zero vector is an eigenvector of F, but F has no other eigenvectors. C) F has no eigenvectors. D) Each vector in R2 is an eigenvector of F.
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