Consider the following system of equations and fill in the blanks. Follow the number format of the table (three decimal places and leading zero if appropriate) 3x₁+2x₂+x=7 x₁+3x₂+2x₂ = 4 2x₁+x₂+3x3=7 The table below shows iterations using the Fill in the blanks on the table, following the number formats shown. Iteratio n 0 1 2 3 4 5 x1 1 1.333 1.728 2.097 2.053 x2 1 0.222 -0.156 0.164 -0.057 x3 1 1.370 1.037 0.954 0.960 method (Gauss-Seidel or Jacobi)
Consider the following system of equations and fill in the blanks. Follow the number format of the table (three decimal places and leading zero if appropriate) 3x₁+2x₂+x=7 x₁+3x₂+2x₂ = 4 2x₁+x₂+3x3=7 The table below shows iterations using the Fill in the blanks on the table, following the number formats shown. Iteratio n 0 1 2 3 4 5 x1 1 1.333 1.728 2.097 2.053 x2 1 0.222 -0.156 0.164 -0.057 x3 1 1.370 1.037 0.954 0.960 method (Gauss-Seidel or Jacobi)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 41E
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Transcribed Image Text:Consider the following system of equations and fill in the blanks. Follow the number format of the table (three decimal places and leading zero if
appropriate)
3x₁+2x₂ + x3 =7
x₁ + 3x₂+2x₂ = 4
2x₁ + x₂ + 3x3=7
The table below shows iterations using the
Fill in the blanks on the table, following the number formats shown.
Iteratio
n
0
1
2
3
4
5
x1
1
1.333
1.728
2.097
2.053
x2
1
0.222
-0.156
-0.057
x3
1
1.370
1.037
0.954
0.960
method (Gauss-Seidel or Jacobi)
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