D = 2 O -1 -2 [0.5 0.5] 0.5 0.5 -2 -1 0 De₂ De 1 2 3 2 - -1 11 -2 -2 22 [0.866 -0.500] 0.500 0.866 Ee₂ -1 0 Ee₁ 1 2
D = 2 O -1 -2 [0.5 0.5] 0.5 0.5 -2 -1 0 De₂ De 1 2 3 2 - -1 11 -2 -2 22 [0.866 -0.500] 0.500 0.866 Ee₂ -1 0 Ee₁ 1 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
D and E please. Please show work
![A
2
1
0
-1
-2
2
1
0
-1
-2
[0.5 0.0]
0.0 2.0
-2 -1
-2
NO
Cei
-1
Ae₂
Ce₂
0
0
Ae₁
1
1
2
2
B=
2
1
0
-1
-2
D =
2
1
0
-1
-2
-2
-1
0.5 0.5
[0.5 0.5]
-2
-1
0.433 0.250]
-0.250 0.433
Bez
0
Be
0
1
De₂
De₁
1
2
2
E =
2
1
0
-1
-2
-2
[0.866 -0.500]
0.500
0.866
Ee₂
-1
0
Ee₁
1
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b12454d-3d87-4e03-812b-30094a11bb49%2Feb193427-f7a6-452f-89f0-172b7e9f3c44%2Fq4z0j6f_processed.png&w=3840&q=75)
Transcribed Image Text:A
2
1
0
-1
-2
2
1
0
-1
-2
[0.5 0.0]
0.0 2.0
-2 -1
-2
NO
Cei
-1
Ae₂
Ce₂
0
0
Ae₁
1
1
2
2
B=
2
1
0
-1
-2
D =
2
1
0
-1
-2
-2
-1
0.5 0.5
[0.5 0.5]
-2
-1
0.433 0.250]
-0.250 0.433
Bez
0
Be
0
1
De₂
De₁
1
2
2
E =
2
1
0
-1
-2
-2
[0.866 -0.500]
0.500
0.866
Ee₂
-1
0
Ee₁
1
2
Transcribed Image Text:Calculate or determine the following:
• Whether or not the matrix is orthonormal (recall definition from lec 13)
• The determinant
• Whether or not the matrix is invertible (you do not need to compute the inverse)
• The trace (recall definition from lec 16)
• The eigenvalues and eigenvectors (recall examples we did on whiteboard in lec 16)
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