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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

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 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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