Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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and to the one that you
partial pivoting).
CHAPTER 7
t in MATLAB by typing A\b (which does do
expand button
Transcribed Image Text:and to the one that you partial pivoting). CHAPTER 7 t in MATLAB by typing A\b (which does do
3. Let
A =
10-16 1
(¹0 1)
1 1
and b =
2
3
Here we will see the effect of using a tiny element as a pivot.
=
(a) By hand, solve the linear system Ax
X1
b exactly. Write your answer in
a form where it is clear what the approximate values of x₁ and x² are.
(b) In MATLAB, enter the matrix A and type cond (A) to determine the
2-norm condition number of A. Would you say that this matrix is well
conditioned or ill conditioned in the 2-norm?
(c) Write a MATLAB code (or use one from the text) that does not do
partial pivoting to solve the linear system Ax = b. Compare the
answer returned by this code to the one that you determined by hand
expand button
Transcribed Image Text:3. Let A = 10-16 1 (¹0 1) 1 1 and b = 2 3 Here we will see the effect of using a tiny element as a pivot. = (a) By hand, solve the linear system Ax X1 b exactly. Write your answer in a form where it is clear what the approximate values of x₁ and x² are. (b) In MATLAB, enter the matrix A and type cond (A) to determine the 2-norm condition number of A. Would you say that this matrix is well conditioned or ill conditioned in the 2-norm? (c) Write a MATLAB code (or use one from the text) that does not do partial pivoting to solve the linear system Ax = b. Compare the answer returned by this code to the one that you determined by hand
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