QUESTIÓN 3 If you have to solve many times for different vectors , but the same matrix A it is best to Ax = b a. determine the inverse of the matrix A. b. use the LU decomposition of the matrix c. use Gauss -elimination with partial pivoting d. use an iterative method. QUESTION 4 Consider the 3 x 3 system of linear equations 5x - z=2 y=2 - 3x + 2z=4 Let x (0) = (1,1,8)* What is the result of the first iteration using the Gauss-Seidel method? О (2, 2.3) О (2,2, 1.2) Not one of the options. O (2, 2, 5)

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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QUESTION 3
If you have to solve
many times for different vectors , but the same matrix A it is best to
Ax = b
a. determine the inverse of the matrix A.
b.use the LU decomposition of the matrix
c. use Gauss -elimination with partial pivoting
d. use an iterative method.
QUESTION 4
Consider the 3 x 3 system of linear equations
5x - z=2
y=2
- 3x + 27=4
Let x (0) = (1,1,8)'
What is the result of the first iteration using the Gauss-Seidel method?
(2, 2,3)
О (2,2, 1.2)
Not one of the options.
О (2, 2.5)
Transcribed Image Text:QUESTION 3 If you have to solve many times for different vectors , but the same matrix A it is best to Ax = b a. determine the inverse of the matrix A. b.use the LU decomposition of the matrix c. use Gauss -elimination with partial pivoting d. use an iterative method. QUESTION 4 Consider the 3 x 3 system of linear equations 5x - z=2 y=2 - 3x + 27=4 Let x (0) = (1,1,8)' What is the result of the first iteration using the Gauss-Seidel method? (2, 2,3) О (2,2, 1.2) Not one of the options. О (2, 2.5)
2 2 -1
In the LU-decomposition of the matrix A=
- 21 0
the matrix U =
4 7
а.
2 2 -1
0 3 -1
0 0 -6
b. Not one of the options.
Oc.
2 2 - 1
0 3
- 1
0 3
5
Od.
2 2 -1
0 3 -1
0 0 6
Transcribed Image Text:2 2 -1 In the LU-decomposition of the matrix A= - 21 0 the matrix U = 4 7 а. 2 2 -1 0 3 -1 0 0 -6 b. Not one of the options. Oc. 2 2 - 1 0 3 - 1 0 3 5 Od. 2 2 -1 0 3 -1 0 0 6
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