Numerical Methods for Scientific and Engineering116Choose / and m as the smallest integers for which(k)Im|a| = max a. ksand interchange rows k and I and columns k and m.If the matrix A is diagonally dominant or real, symmetri526m oals vom 0is necessary.Example 3.5 Solve the equations10x₁ - x₂ + 2x3 = 4x₁ + 10x₂ - x3 = 32x₁ + 3x₂ + 20x3 = 7using the Gauss elimination method.first elimination stageSolution: The system is diagonally dominant and no p10x₁ - x₂ + 2x3 = 41011226X210X31010+62adsor bogatoX3second elimin3210X2S196101111S

Given data:- 10x1-x2+2x3=4x1+10x2-x3=32x1+3x2+20x3=7

If the matrix A is diagonally dominant or real, symmetri is necessary. hubso Example 3.5 Solve the equations 10x₁ - x₂ + 2x3 = 4 x₁ + 10x₂ - x3 = 3 2x₁ + 3x₂ + 20x3 = 7 using the Gauss elimination method. Solution: The system is diagonally dominant and no p first elimination stage

If the matrix A is diagonally dominant or real, symmetri is necessary. hubso Example 3.5 Solve the equations 10x₁ - x₂ + 2x3 = 4 x₁ + 10x₂ - x3 = 3 2x₁ + 3x₂ + 20x3 = 7 using the Gauss elimination method. Solution: The system is diagonally dominant and no p first elimination stage

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 29E

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Question

Numerical Methods for Scientific and Engineering
116
Choose / and m as the smallest integers for which
(k)
Im
|a| = max a. ks
and interchange rows k and I and columns k and m.
If the matrix A is diagonally dominant or real, symmetri
526m oals vom 0
is necessary.
Example 3.5 Solve the equations
10x₁ - x₂ + 2x3 = 4
x₁ + 10x₂ - x3 = 3
2x₁ + 3x₂ + 20x3 = 7
using the Gauss elimination method.
first elimination stage
Solution: The system is diagonally dominant and no p
10x₁ - x₂ + 2x3 = 4
101
12
26
X2
10
X3
10
10
+
62
adsor bogato
X3
second elimin
32
10
X2
S
196
10
11
11
S

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