EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 10, Problem 14P
A matrix
Using the column-sum norm, compute the condition number and how many suspect digits would be generated by this matrix.
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An orthogonal basis for the column space of
matrix A is {V₁, V₂, V3}. Use this orthogonal
basis to find a QR factorization of matrix A.
Q=₁ R=
(Type exact answers, using radicals as needed.)
A=
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23
42
48
V₁
11
1
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1
V₂ =
1
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3
3
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3
7. Given a square matrix
1
-2
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A%3=
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0
1
Write MATLAB code to perform the following math expression:
a) X=7, a=X+2
5
12
2
b) A= 22
L27
4 48
7
Chapter 10 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 10 - 10.1 Use the rules of matrix multiplication to...Ch. 10 - 10.2 (a) Use naive Gauss elimination to decompose...Ch. 10 - 10.3 (a) Solve the following system of equations...Ch. 10 - 10.4 Solve the following system of equations using...Ch. 10 - Determine the total flops as a function of the...Ch. 10 - Use LU decomposition to determine the matrix...Ch. 10 - 10.7 Perform Crout decomposition on
Then,...Ch. 10 - The following system of equations is designed to...Ch. 10 - 10.9 Solve the following set of equations with LU...Ch. 10 - 10.10 (a) Determine the LU decomposition without...
Ch. 10 - Use the following LU decomposition to (a) compute...Ch. 10 - Determine Ae,A1,andAfor [A]=[82109131516] Scale...Ch. 10 - 10.13 Determine the Frobenius and the row-sum...Ch. 10 - 10.14 A matrix is defined as
Using the...Ch. 10 - 10.15 (a) Determine the condition number for the...Ch. 10 - 10.16 Determine the condition number based on the...Ch. 10 - Besides the Hilbert matrix, there are other...Ch. 10 - 10.18 Develop a user-friendly program for LU...Ch. 10 - Develop a user-friendly program for LU...Ch. 10 - Use iterative refinement techniques to improve...Ch. 10 - 10.21 Consider vectors:
Vector is...Ch. 10 - 10.22 Consider the following vectors:
Where is...Ch. 10 - 10.23 Let the function be defined on the interval ...Ch. 10 - 10.24 (a) Create a Hilbert matrix. This will be...Ch. 10 - Polynomial interpolation consists of determining...
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