List the eigenvalues of A. The transformation x→Ax is the composition of a rotation and a scaling. Give the angle op of the rotation, where -<≤, and give the scale factor r. Q= (Type an exact answer, using as needed.) A = The eigenvalues of A are λ = (Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed.) r= (Type an exact answer, using radicals as needed.) - 3 - 3 3-3

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 8BEXP
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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
9
the rotation, where -<≤, and give the scale factor r.
4 =
(Type an exact answer, using as needed.)
A =
r=
(Type an exact answer, using radicals as needed.)
- 3
3
- 3
The eigenvalues of A are λ =
(Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed.)
- 3
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 9 the rotation, where -<≤, and give the scale factor r. 4 = (Type an exact answer, using as needed.) A = r= (Type an exact answer, using radicals as needed.) - 3 3 - 3 The eigenvalues of A are λ = (Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed.) - 3
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