Consider the following vectors, which you can copy and paste directly into Matlab or octave online. x = [13 4 5 2223321 2]; y = [6 252 5 22 335 3]: Use the vectors x and y to create the following matrix. 16 0 0 0 0 0 0 0 0 0 0 6 3 2 0 0 0 0 0 0 0 0 0 0 2 4 5 0 0 0 0 0 0 0 0 0 0 5 5 2 0 0 0 0 0 0 0 0 0 0 2 2 5 0 0 0 0 0 0 0 0 0 0 5 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 3 3 0 0 0 0 0 0 0 0 0 0 3 3 30 0 0 0 0 0 0 0 o 0 3 2 5 0 0 0 0 0 0 0 0 0 0 5 1 3 0 0 0 0 0 0 0 0 0 0 3 2 A matrix like this is called a tri-diagonal matrix. Hint: Use the diag command three times, and then add the resulting matrices.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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92.2
Consider the following vectors, which you can copy and paste
directly into Matlab or octave online.
x = [13 4 5 22233 21 2];
y = [6 252522 335 3];
Use the vectors x and y to create the following matrix.
16 0 0 0 0 0 0 0 00 0
6 3 2 0 0 0 0 0 0 0 0 0
0 2 4 5 0 0 0 0 0 0 0 0
0 0 5 5 2 0 0 0 0 0 0 0
0 0 0 2 2500 0 0 0 0
0 0 0 0 5 2 20 0 0 0 0
0 0 0 0 0 2 2 2 0 0 0 0
0 0 0 0 0 0 2 3 3 0 0 0
0 0 0 0 0 0 0 3 3 3 0 0
0 0 0 0 0 0 0 0 3 2 5 0
0 0 0 0 0 0 0 0 0513
0 0 0 0 0 0 0 0 0 0 3 2
A matrix like this is called a tri-diaoonal 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(A) = -2.3801e+06.
Figure out the dominant eigenvalue of A.
Transcribed Image Text:92.2 Consider the following vectors, which you can copy and paste directly into Matlab or octave online. x = [13 4 5 22233 21 2]; y = [6 252522 335 3]; Use the vectors x and y to create the following matrix. 16 0 0 0 0 0 0 0 00 0 6 3 2 0 0 0 0 0 0 0 0 0 0 2 4 5 0 0 0 0 0 0 0 0 0 0 5 5 2 0 0 0 0 0 0 0 0 0 0 2 2500 0 0 0 0 0 0 0 0 5 2 20 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 3 3 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 3 2 5 0 0 0 0 0 0 0 0 0 0513 0 0 0 0 0 0 0 0 0 0 3 2 A matrix like this is called a tri-diaoonal 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(A) = -2.3801e+06. Figure out the dominant eigenvalue of A.
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