This question is worth 10 points) Ise Gaussian elimination method with partial pivoting for the following linear system: X1 + x2 + 2x3 = 6 -2x, + 3x2 + x3 = -2 -x, + 3x2 + 4x3 = 8 riangularization (or forward elimination) step reduces the given system to equivalent system in an upper-triangular form. Which of the following quivalent system in the upper-triangular form? our answer: X1 + x2 + 2x, = 6 5x2 + 5x3 = 10 2x3 = 6 -2x, + 3x2 + x3 = -2 2.5x2 + 2.5x3 = 5 2x3 = 6 2x - 3x2 - X3 = 2 -2.5x2 + 3.5x; = 13 2.5x = 7.5 P None of the above Clear answer

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
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Question 1
(This question is worth 10 points)
Use Gaussian elimination method with partial pivoting for the following linear system:
X1 + x2 + 2x3
= 6
-2x1 + 3x2 + X3
= -2
-X, + 3x2 + 4x3 = 8
Triangularization (or forward elimination) step reduces the given system to equivalent system in an upper-triangular form. Which of the following is the obtained
equivalent system in the upper-triangular form?
Your answer:
+ x2 + 2x3
5x2 + 5x3
= 10
2x3 =
-2x1 + 3x2 + X3
= -2
2.5x2 + 2.5x3 = 5
2X3
%3D
2х, -
3x2
X3
= 2
-2.5x2 + 3.5x3 = 13
2.5x3 = 7.5
None of the above
Clear answer
6.
Transcribed Image Text:Question 1 (This question is worth 10 points) Use Gaussian elimination method with partial pivoting for the following linear system: X1 + x2 + 2x3 = 6 -2x1 + 3x2 + X3 = -2 -X, + 3x2 + 4x3 = 8 Triangularization (or forward elimination) step reduces the given system to equivalent system in an upper-triangular form. Which of the following is the obtained equivalent system in the upper-triangular form? Your answer: + x2 + 2x3 5x2 + 5x3 = 10 2x3 = -2x1 + 3x2 + X3 = -2 2.5x2 + 2.5x3 = 5 2X3 %3D 2х, - 3x2 X3 = 2 -2.5x2 + 3.5x3 = 13 2.5x3 = 7.5 None of the above Clear answer 6.
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