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List the eigenvalues of A. The transformation xAx 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 xAx 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 xAx is the composition of a rotation and a scaling. Give the angle o of the rotation, where -x<oSx, and give the scale factor r. 743 -7 A= 7 743 The eigenvalues of A are A= -2/3 -2i,-2/3 +2i (Simplify your answer. Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed ) 5x 6. (Simplify your answer. Type an exact answer, using x as needed ) (Simplify your answer)
Transcribed Image Text:List the eigenvalues of A. The transformation xAx is the composition of a rotation and a scaling. Give the angle o of the rotation, where -x<oSx, and give the scale factor r. 743 -7 A= 7 743 The eigenvalues of A are A= -2/3 -2i,-2/3 +2i (Simplify your answer. Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed ) 5x 6. (Simplify your answer. Type an exact answer, using x as needed ) (Simplify your answer)
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