4. Let A = (a) Find all complex eigenvalues of A. (b) s-1AS = B. By what factor does B scale the plane? By what angle does B rotate the plane (counterclockwise about the origin)? Find an invertible matrix S and a rotation-scaling matrix B such that
4. Let A = (a) Find all complex eigenvalues of A. (b) s-1AS = B. By what factor does B scale the plane? By what angle does B rotate the plane (counterclockwise about the origin)? Find an invertible matrix S and a rotation-scaling matrix B such that
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
Related questions
Question
![1
4. Let A =
-1
3
(а)
Find all complex eigenvalues of A.
(b)
s-'AS
Find an invertible matrix S and a rotation-scaling matrix B such that
B. By what factor does B scale the plane? By what angle does B rotate
the plane (counterclockwise about the origin)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51ba1ab0-5c9b-4874-b436-0ee9f47864fd%2F82c17f3c-1602-4c03-a62d-6d2596530c52%2Fgeaz4z8_processed.png&w=3840&q=75)
Transcribed Image Text:1
4. Let A =
-1
3
(а)
Find all complex eigenvalues of A.
(b)
s-'AS
Find an invertible matrix S and a rotation-scaling matrix B such that
B. By what factor does B scale the plane? By what angle does B rotate
the plane (counterclockwise about the origin)?
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