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1. 3x1 - 2x2 + x3 = -10 2x1 + 6x2 - 4x3 = 44 -x1 – 2x2 + 5x3 = -26 a. Solve the set of equations above with Gauss elimination. b. Solve the set of equations above with Gauss-Jordan method.
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]
Problem #4 Given the following system of linear equations: 2 x1 6x2 X3 = -38 -3 xI - X27 x3 = -34 -8 xix2 2x3 = -20 Use Gauss-Jordan method to solve for the x's
Thank you! Solve using Gauss-Jordan elimination 2x1 + 6x2 - 26x3 = 18 4x1 + 3x2 - 16x3 = 0 x1 + x2 - 5x3 = 1 Select the correct choice below and fill in the answer A) The unique solution is x1=_________, x2 = ________, and x3 - _________. B) The system has infinitely many solutions. The solution is x1 = __________, x2 = _____________, and x3 = t. (Many thanks for the help) Sandi
4. Solve the following system of linear equations using Gauss-Jordan elimination: X1 + 32 - 2x3 + 24 + 3x5 = 1 2x 1 - X2 + 2x3 + 2x4 + 6x5 = 2 3x1 + 2x2 - 4x3 - 3.24 - 9.25 = 3
Q1 The linear system Ax = b is given by: x1−x2 + 4x3 = 7 4x1 + 2x2 –x3= 18, x1 + 3x2+ x3 = 16, has the solution x=(3, 4,2)T. Using the initial guess x (0)=(1, 1,1)T Solve the above system as is using: Gauss-Seidel method. If the error increases, what does that mean and what should you do? (see b below) Condition the system so that convergence is secured and solve using the Gauss-Siedel method. Q2: Find a system...
Solve the system S x1 | 5x1 +x2 +4x3 +6x2 +4x3 = = 7 2
Write the given system of equations as a matrix equation and solve by using inverses. X1 х2 = k1 8X1 + 6x2 + x3 = K2 - 3x, - Xz = K₂ a. What are X7, Xy, and Xz when k, = -9, K2 = -5, and kz = - 7? X = X2 = Il b. What are xy, X2, and X, when kn = 1, K2 = -8, and kz = - 6? x, x2 = Xz c....
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...
Solve the system of linear equations using the Gauss-Jordan elimination method. 3x1 2x2X316 x1 + 2x2 + 2x3 = 12 (X1, X2, X3) =