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
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
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a0c0db2-6aa7-4375-9a58-caee38addd31%2F7e6d2b71-b1f3-4e0e-8e14-f5748b365572%2F7idr2ws_processed.png&w=3840&q=75)
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
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