Q.2) Solve the following set of linear equation by Gauss-Siedel Iteration method with initial guesses of(X10-X20 = X30-...
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 +...
need help on number 13 Exercises 11-16. Represent each linear system in marrix form. Solve by Gauss elimination when the system is consistent and cross-check by substituting your solution set back into all equations. Interpret the solution geometrically in terms planes in R3. of 2x1 +3x2 x3 = 1 4x1 7x2+ 3 3 11. 7x1 +10x2 4x3 = 4 3x1 +3x2+x3 =-4.5 12. x1+ x2+x3 = 0.5 2x-2x2 5.0 x+2x2 3x3 1 3x1+6x2 + x3 = 13 13. 4x1 +8x2...
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...
helpp I'm this exam 2) Use the Gauss-Seidel method to solve the following system until the percentage relative error is below 0.5% -2x1 + 2x2 – X3 = 25 - 3x1 - 6x2 + 2x3 = -40.5 X1 + x2 + 5x3 = -25.5 a) Record the table-style values. (Iteration, X1, X2, X3, Error X1, Error X2, Error X3). х iteration error X1 x2 x3
Excel Use Simplex method and Exel To solve the following LPPs. Maximize Maximize P-3x + x2 subject to the constraints x1 + x2 = 2 2x) + 3x2 s 12 3x + = 12 x 20 x220 P = 5x1 + 7x2 subject to the constraints 2xy + 3x2 = 12 3x + x2 = 12 x 20 *2 2 0 Maximize Maximize P = 2x2 + 4x2 + x3 subject to the constraints -*1 + 2x2 + 3x3 5...
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
Q.1 Using the method of Triangular Decomposition solve the set of equations. Xı - 2x2 + 3x3 - X4 = -3 3x1 + x2-3x3 +2x4 = 14 5xi +3x2+2x3 + 3x4 = 21 2x1 - 4x2 – 2x3 + 4x4 = -10 If Ax = 2x, determine the eigenvalues and corresponding eigenvectors of -3 0 6 4 10 - 8 A 4 5 3 B= 1 2 1 1 2 1 -1 2 3 Q.2
Use the Gauss-Seidel Method to solve the set of equations given below. Arrange the equations so as to guarantee convergence. Start with X-X2 X3-1 and perform at least 3 iterations. 2x +6x2+16x3=47 14x +4x2+5x3=56 4x1+17x2+3x3=25
Test II. ITERATIVE SOLUTION OF SYSTEMS OF LINEAR EQUATIONS Solve the following linear system using Gauss-Seidel iterative method. Use x = x; = x; =0 as initial guesses. Perform two iterations of the method to find xị, xį and xſ and fill the following table. Show all the calculation steps. 10x, + 2x2 - X3 = 27 -3x, - 6x2 + 2xz = -61.5 X1 + x2 + 5x3 = -21.5
Using the Gauss-Seidel Method to solve the equations in the same order listed below with an initial guess of x1 = X2 = X3 = 1, what is the estimated value of x2 after 1 iteration? -8x1 + x2 - 2x3 = -20 2x1 - 6x2 - x3 = -38 -3x1 - x2 + 7x3 = -34 0 6.50 O 6.96 0 100 0 2.38