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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
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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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.
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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