Consider the following augmented matrix: R₁: 1 0 R₂: R3: R₁: 1 -1 8 0 0 2 -1 -2 0 -4 1 0 4 0 30 4 1 Assume that the largest absolute values of each row before elimination are: $₁ = 2, 82 = 5, 83 = 6, 84 = 2 By using scaled partial pivoting strategy, which row should be used as pivot row to eliminate 27

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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Consider the following augmented matrix:
R₁: 1 0 1
R₂: 0 0
R3:
0 -4
R₁:
0 3
1 8
2 -1
1 0
-2
4
04 1
Assume that the largest absolute values of each row before elimination are:
$1 = 2, 825, 83 = 6, s4 = 2
By using scaled partial pivoting strategy, which row should be used as pivot row to eliminate x₂?
Transcribed Image Text:Consider the following augmented matrix: R₁: 1 0 1 R₂: 0 0 R3: 0 -4 R₁: 0 3 1 8 2 -1 1 0 -2 4 04 1 Assume that the largest absolute values of each row before elimination are: $1 = 2, 825, 83 = 6, s4 = 2 By using scaled partial pivoting strategy, which row should be used as pivot row to eliminate x₂?
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