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Solve the following system of equations using a) Gauss elimination method (upper triangle matrix) and report...
Solve the given system of equations using either Gaussian or Gauss-Jordan elimination x1 + 2x2-3x3 = 19 2x1 -X2+ X3 - 4X1- x2 + x3= 8
Solve the system of linear equations using the Gauss-Jordan elimination method. 3x1 2x2X316 x1 + 2x2 + 2x3 = 12 (X1, X2, X3) =
3 Linear systems 18. Solve the linear system of equations using the Naive Gauss elimination method x,+x: + x) = 1 +2x, +4x1 x 19. Solve the linear system of equations using the Gauss elimination method with partial pivoting 12x1 +10x2-7x3=15 6x, + 5x2 + 3x3 =14 24x,-x2 + 5x, = 28 20. Find the LU decomposition for the following system of linear equations 6x, +2x, +2, 2 21. Find an approximate solution for the following linear system of equations...
Find all solutions to the system using the Gauss-Jordan elimination algorithm. 3x3 + 15x4 =0 x1 + x2 + x3 + x4 =1 4x1 - x2 + x3 + 4x4 = 0 4x1 - x2 + x3 + x4 =0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The system has a unique solution x1=_______ ,x2=_______ ,x3=_______ ,x4=_______ B. The system has an infinite number of solutions characterized as follows.C. The system has an infinite number of...
1) Solve the following system of linear equations using a Gauss Elimination Method (5 pts) 5x1 + 5x2 + 3x3 = 10 3x1 + 8x2 – 3x3 = -1 4x1 + 2x2 + 5x3 = 4
Solve using Gauss Jordan 3) Given the following set of linear equations x, +2x2-x3 +x4=5 -xi-2x2-3x3 + 2x4 = 7 x, +x2 + x3+x4=10
4.3.67Solve using Gauss-Jordan elimination. x1 - x2 + x3 = -0.9 -2x1 +5x2 + 5x3 + 4x4 = 2.1 3x1 + 6x3 + 7x4 = - 4.7 4x1 – 3x2 + 2x3 + 6x4 = -6.7 Select the correct choice below and fill in the answer box(es) within your choice. 4.3.47Solve using Gauss-Jordan elimination 3x1 + 3x2 - 7x3 = - 15 4x1 + 18x2 - 43x3 = - 23 x1 + 3x2 - 7x3 = -5 Select the correct choice below and fill in the answer box(es) within your...
Find all the basic solutions for the following LP problems using the Gauss– Jordan elimination method. Identify basic feasible solutions and show them on graph paper. Maximize z = 4x1 + 2x2 subject to −2x1 + x2 ≤ 4 x1 + 2x2 ≥ 2 x1, x2 ≥ 0
Use the Gaussian elimination method to solve each of the following systems of linear equations. In each case, indicate whether the system is consistent or inconsistent. Give the complete solution set, and if the solution set is infinite, specify three particular solutions. 1-5x1 – 2x2 + 2x3 = 14 *(a) 3x1 + x2 – x3 = -8 2x1 + 2x2 – x3 = -3 3x1 – 3x2 – 2x3 = (b) -6x1 + 4x2 + 3x3 = -38 1-2x1 +...
Solve the given system of linear equations by Gauss-Jordan elimination: -X1 + x2 + x3 = 5 5x + 3x, – x3 = 3 2x + 4x2 + x3 = 11 [6 marks]