Question

In: Mechanical Engineering

Solve the following set of equations with LU factorization with pivoting: 3x1 -2x2 + x3 =...

Solve the following set of equations with LU factorization with pivoting:
3x1 -2x2 + x3 = -10
2x1 + 6x2- 4x3 = 44
-8x1 -2x2 + 5x3 = -26

Please show all steps

Solutions

Expert Solution


Related Solutions

Solve the following system of equations using LU factorization without partial pivoting: 2x1 - 6x2 -...
Solve the following system of equations using LU factorization without partial pivoting: 2x1 - 6x2 - x3 = -38 -3x1 - x2 + x3 = -34 -8x1 + x2 - 2x3 = -20
Find [A]^-1 for the following equation using LU Decomposition and {x}. 3x1 - 2x2 + x3...
Find [A]^-1 for the following equation using LU Decomposition and {x}. 3x1 - 2x2 + x3 = -10 2x1 + 6x2 - 4x3 = 44 -x1 - 2x2 + 5x3 = -26
Need a python code for LU factorization( for partial pivoting and complete pivoting) of a random...
Need a python code for LU factorization( for partial pivoting and complete pivoting) of a random matrix size 5x5.
Need a MATLAB code for LU factorization(both partial and complete pivoting) of 10 random matrices of...
Need a MATLAB code for LU factorization(both partial and complete pivoting) of 10 random matrices of order 5x5. Please do not comment like I don't have computer or I don't know matlab. If you please answer otherwise you can skip.
4-Consider the following problem: max − 3x1 + 2x2 − x3 + x4 s.t. 2x1 −...
4-Consider the following problem: max − 3x1 + 2x2 − x3 + x4 s.t. 2x1 − 3x2 − x3 + x4 ≤ 0 − x1 + 2x2 + 2x3 − 3x4 ≤ 1 − x1 + x2 − 4x3 + x4 ≤ 8 x1, x2, x3, x4 ≥ 0 Use the Simplex method to verify that the optimal objective value is unbounded. Make use of the final tableau to construct an unbounded direction..
Consider the linear system of equations below 3x1 − x2 + x3 = 1 3x1 +...
Consider the linear system of equations below 3x1 − x2 + x3 = 1 3x1 + 6x2 + 2x3 = 0 3x1 + 3x2 + 7x3 = 4 i. Use the Gauss-Jacobi iterative technique with x (0) = 0 to find approximate solution to the system above up to the third step ii. Use the Gauss-Seidel iterative technique with x (0) = 0 to find approximate solution to the third step
Consider the TOYCO model given below: TOYCO Primal: max z=3x1+2x2+5x3 s.t. x1 + 2x2 + x3...
Consider the TOYCO model given below: TOYCO Primal: max z=3x1+2x2+5x3 s.t. x1 + 2x2 + x3 ? 430 (Operation 1) 3x1 + 2x3 ? 460 (Operation 2) x1 + 4x2 ? 420 (Opeartion 3 ) x1, x2, x3 ?0 Optimal tableau is given below: basic x1 x2 x3 x4 x5 x6 solution z 4 0 0 1 2 0 1350 x2 -1/4 1 0 1/2 -1/4 0 100 x3 3/2 0 1 0 1/2 0 230 x6 2 0 0...
Consider the linear system of equations 2x1 − 6x2 − x3 = −38 −3x1 − x2...
Consider the linear system of equations 2x1 − 6x2 − x3 = −38 −3x1 − x2 + 7x3 = −34 −8x1 + x2 − 2x3 = −20 With an initial guess x (0) = [0, 0, 0]T solve the system using Gauss-Seidel method.
Find the set of ALL optimal solutions to the following LP: min z= 3x1−2x2 subject to...
Find the set of ALL optimal solutions to the following LP: min z= 3x1−2x2 subject to 3x1+x2≤12 3x1−2x2−x3= 12 x1≥2 x1, x2, x3≥0
1.   Solve the following system: 2x1- 6x2- x3 = -38 -3x1–x2 +7x3 = -34 -8x1 +x2...
1.   Solve the following system: 2x1- 6x2- x3 = -38 -3x1–x2 +7x3 = -34 -8x1 +x2 – 2x3 = -20 By: a.   LU Factorization b.   Gauss-Siedel Method, error less that10-4 Hint (pivoting is needed, switch rows).
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT