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List the eigenvalues of A. The transformation xHAx is the composition of a rotation and a scaling. Give the angle o of the rotation, where -1

List the eigenvalues of A. The transformation xHAx is the composition of a rotation and a scaling. Give the angle o of the rotation, where -1

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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List the eigenvalues of A. The transformation xHAx is the composition of a rotation and a scaling. Give the angle o of the rotation, where -1<Qs7, and give the scale factor r. V3 1 A = 1 13 5 5 The eigenvalues of A are i = (Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed.) (Type an exact answer, using a as needed.) r= (Type an exact answer, using radicals as needed.)
Transcribed Image Text:List the eigenvalues of A. The transformation xHAx is the composition of a rotation and a scaling. Give the angle o of the rotation, where -1<Qs7, and give the scale factor r. V3 1 A = 1 13 5 5 The eigenvalues of A are i = (Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed.) (Type an exact answer, using a as needed.) r= (Type an exact answer, using radicals as needed.)
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