Problem #2: Consider the following vectors, which you can copy and paste directly into Matlab. x = [4 2 5 4 2 1 4 4 5]; y [2 3 5 2 5 2 3 6]; Use the vectors x and y to create the following matrix. WNN 4 200 0 0 0 2 0 5 0 5 4 2 0 0 0 2 2 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 000000065 om in in 0 0 3 5 O 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 5 1 2 4 3 0 0 3 4 6 Such a matrix is called a tri-diagonal matrix. Hint: Use the diag command three times, and then add the resulting matrices. To check that you have correctly created the matrix A, verify that det(4) = -4.3502e-05. Find the dominant eigenvalue of A.
Problem #2: Consider the following vectors, which you can copy and paste directly into Matlab. x = [4 2 5 4 2 1 4 4 5]; y [2 3 5 2 5 2 3 6]; Use the vectors x and y to create the following matrix. WNN 4 200 0 0 0 2 0 5 0 5 4 2 0 0 0 2 2 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 000000065 om in in 0 0 3 5 O 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 5 1 2 4 3 0 0 3 4 6 Such a matrix is called a tri-diagonal matrix. Hint: Use the diag command three times, and then add the resulting matrices. To check that you have correctly created the matrix A, verify that det(4) = -4.3502e-05. Find the dominant eigenvalue of A.
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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Question
![Problem #2: Consider the following vectors, which you can copy and paste directly into Matlab.
x = [4 2 5 4 2 1 4 4 5];
y
[2 3 5 2 5 2 3 6];
Use the vectors x and y to create the following matrix.
4 200 0
0 0
2
0
5
0
5 4 2
0
0 0
2
2
0
0
0
0 5
0 0 0 0
0
0 0 0 0 0
000000065
WNN
om in in
0 0
3
5
O
0 0
0
0
0
0
0 0
0
0
0
0
0
0
0 0
0
2 0 0
5
1
2 4 3 0
0
3 4 6
Such a matrix is called a tri-diagonal matrix.
Hint: Use the diag command three times, and then add the resulting matrices.
To check that you have correctly created the matrix A, verify that det(4) = -4.3502e-05.
Find the dominant eigenvalue of A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d49a1bf-def0-472f-94db-660c9693a140%2Fd98e6e32-1e03-4028-beec-b106fab77d90%2F30vpak_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #2: Consider the following vectors, which you can copy and paste directly into Matlab.
x = [4 2 5 4 2 1 4 4 5];
y
[2 3 5 2 5 2 3 6];
Use the vectors x and y to create the following matrix.
4 200 0
0 0
2
0
5
0
5 4 2
0
0 0
2
2
0
0
0
0 5
0 0 0 0
0
0 0 0 0 0
000000065
WNN
om in in
0 0
3
5
O
0 0
0
0
0
0
0 0
0
0
0
0
0
0
0 0
0
2 0 0
5
1
2 4 3 0
0
3 4 6
Such a matrix is called a tri-diagonal matrix.
Hint: Use the diag command three times, and then add the resulting matrices.
To check that you have correctly created the matrix A, verify that det(4) = -4.3502e-05.
Find the dominant eigenvalue of A.
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