EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 10, Problem 10P
Determine the LU decomposition with out pivoting by hand for the following matrix and check your results by validating that
(b) Employ the result of (a) to compute the determinant.
(c) Repeat (a) and (b) using MATLAB.
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6. Given the following matrices:
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1
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7
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6.a) Create a matrix named SIXA by evaluating (det(A))(B)(C).
2. Consider the following matrix
10
0
140
A1
=
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A2 = 1 1 1
,
A3
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(a) Find the eigenvalues and eigenvectors of each matrix in (2).
1 10
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(2)
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tion. Which matrix in (2) will lead to the Jordan form?
2
3
4
5
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1. (Make a MatLab code) Using for loop, write a script that will generate the
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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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