Consider the system of linear equations:   x1 +5x2 +3x3 =4 x1 - x2 + 6x3 = 16 2x1 +x2  = 5   Write the system as Ax=b Solve the system using Gaussian Elimination with backward substitution. What is the determinant of A.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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  • Consider the system of linear equations:
  •  
  • x+5x2 +3x3 =4
  • x1 - x2 + 6x3 = 16
  • 2x1 +x2  = 5

 

  1. Write the system as Ax=b
  2. Solve the system using Gaussian Elimination with backward substitution.
  3. What is the determinant of A.
  4. Perform one step of the Gauss-Seidel Method on this system starting with initial guess .
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