Matrix A has characteristic polynomial p(2) = (-45-2)(5-2)(18-2). -7 6 28 A = 6 2 -14 28 -14 -17 Given this information, find the spectral form of A, i.e. A = QAQT. (Enter your answer as one augmented matrix. Enter sqrt(n) for √n.) -8 2 2 -45 0 0 2 1 -1 0 5 0 [QA] = 1 0 2 0 0 18 X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Matrix A has characteristic polynomial p(2) = (-45-2)(5-2)(18-2).
-7
6 28
A =
6 2 -14
28 -14 -17
Given this information, find the spectral form of A, i.e. A = QAQT. (Enter your answer as one augmented matrix. Enter sqrt(n) for √n.)
-8
2
2
-45
0
0
2
1
-1
0
5
0
[QA] =
1
0
2
0
0
18
X
Transcribed Image Text:Matrix A has characteristic polynomial p(2) = (-45-2)(5-2)(18-2). -7 6 28 A = 6 2 -14 28 -14 -17 Given this information, find the spectral form of A, i.e. A = QAQT. (Enter your answer as one augmented matrix. Enter sqrt(n) for √n.) -8 2 2 -45 0 0 2 1 -1 0 5 0 [QA] = 1 0 2 0 0 18 X
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,