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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Ques.5.5

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<qST, and give the scale factor r.
2 2
A =
2 2
The eigenvalues of A are À = 2-2i,2+21
Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed.
Type an exact answer, using t as needed)
- 2/2
!3!
Type an exact answer usinn radicale
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<qST, and give the scale factor r. 2 2 A = 2 2 The eigenvalues of A are À = 2-2i,2+21 Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed. Type an exact answer, using t as needed) - 2/2 !3! Type an exact answer usinn radicale
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