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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 -x

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 -x

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 x-Ax is the composition of a rotation and a scaling. Give the angle o of the rotation, where -x<QSI and give the scale factor r. 73 -7 A= 7 7/3 The eigenvalues ofA are = 7/3 +7i7/3-71 (Simplify your answer Use a comma to separate answers as needed Type an and i as needed.) act answer using radicals (Simplify your answer. Type an exact answer using x as needed.)
Transcribed Image Text:List the eigenvalues of A. The transformation x-Ax is the composition of a rotation and a scaling. Give the angle o of the rotation, where -x<QSI and give the scale factor r. 73 -7 A= 7 7/3 The eigenvalues ofA are = 7/3 +7i7/3-71 (Simplify your answer Use a comma to separate answers as needed Type an and i as needed.) act answer using radicals (Simplify your answer. Type an exact answer using x as needed.)
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