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
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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)?
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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