It is the standard matrix of the √3 2 counterclockwise rotation of R² around (0, 0) by an angle of Let A be the matrix An eigenvector of A is H]. (a) Find the eigenvalue of (Write sqrt(a) for √a.) √3 2 8. (b) What is the other eigenvalue of A? H (c) Give an eigenvector of A for this second eigenvalue. 8
It is the standard matrix of the √3 2 counterclockwise rotation of R² around (0, 0) by an angle of Let A be the matrix An eigenvector of A is H]. (a) Find the eigenvalue of (Write sqrt(a) for √a.) √3 2 8. (b) What is the other eigenvalue of A? H (c) Give an eigenvector of A for this second eigenvalue. 8
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![It is the standard matrix of the
√3
2
counterclockwise rotation of R² around (0, 0) by an angle of
Let A be the matrix
An eigenvector of A is
H].
(a) Find the eigenvalue of
(Write sqrt(a) for √a.)
√3
2
8.
(b) What is the other eigenvalue of A?
H
(c) Give an eigenvector of A for this second eigenvalue.
8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8041f754-1f4d-4a0d-bae9-09f742d01760%2Fa63b1985-8223-4a57-90a0-cbe54c0fe8f8%2Fqls0ekl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:It is the standard matrix of the
√3
2
counterclockwise rotation of R² around (0, 0) by an angle of
Let A be the matrix
An eigenvector of A is
H].
(a) Find the eigenvalue of
(Write sqrt(a) for √a.)
√3
2
8.
(b) What is the other eigenvalue of A?
H
(c) Give an eigenvector of A for this second eigenvalue.
8
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