List the eig composition of a rotation and a scaling. Give the angle o of the rotation, where - <≤, and give the scale factor r. ... 4= (Simplify your answer. Type an exact answer, using as needed.) r= A = The eigenvalues of A are >= (Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed.) 0 -0.7 0 0.7 (Simplify your answer. Type an exact answer, using radicals as needed.)

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 of
the rotation, where - <≤, and give the scale factor r.
Q=
(Simplify your answer. Type an exact answer, using as needed.)
A =
r=
The eigenvalues of A are >= 0.
(Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed.)
0 -0.7
0
0.7
(Simplify your answer. Type an exact answer, using radicals 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 of the rotation, where - <≤, and give the scale factor r. Q= (Simplify your answer. Type an exact answer, using as needed.) A = r= The eigenvalues of A are >= 0. (Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed.) 0 -0.7 0 0.7 (Simplify your answer. Type an exact answer, using radicals as needed.)
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