List the eigenvalues of A. The transformation xAx is the composition of a rotation and a scaling. Give the angle p of the rotation, where -x<@SA, and give the scale factor r. V3 4 A = V3+i 3-i The eigenvalues of A are = 4 4. (Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed.) (Type an exact answer, using x as needed) -/14

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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(please solve both parts within 15 minutes I will give thumbs up)
List the eigenvalues of A. The transformation x-Ax is the
composition of a rotation and a scaling Give the angle p of
the rotation, where -x<@SA, and give the scale factor r.
V3
A=
4
V3+i 3-i
The eigenvalues of A are =
4
4
(Use a comma to separate answers as needed. Type an exact answer using radicals and i as needed.)
(Type an exact answer, using x as needed.)
1/14
Transcribed Image Text:List the eigenvalues of A. The transformation x-Ax is the composition of a rotation and a scaling Give the angle p of the rotation, where -x<@SA, and give the scale factor r. V3 A= 4 V3+i 3-i The eigenvalues of A are = 4 4 (Use a comma to separate answers as needed. Type an exact answer using radicals and i as needed.) (Type an exact answer, using x as needed.) 1/14
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