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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 and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
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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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
Transcribed Image Text: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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