Using initial estimates for the solution to be {0,0.0}, what is the solution to the system5x, - 2x, +3x, =-1-3x +9x, +x, = 2 after a single iteration using Gauss-Seidel Method?2.x, - x, -7x, = 3a. {-0.200,0.156. -0.508}b. {0.167.0.334.-0.429}c. {0.191,0.333,-0.422}d. {0.186.0.331,-0.423}

Answered: Image /qna-images/answer/818f023e-cac5-45f3-a2bd-4a8eb1448b20.jpg

Answered: Using initial estimates for the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

[2 4 2 -4 0 0 4 2 4 1 -7 1 2 8 19 8 12 6. [10 points] Find the complete solution to the system 4 X = 7 11
Solve the following system of non-linear equations using (a) Fixed-point iterative method, (b) Gauss-Seidel iterative method and (c) Newton's method. In each case, start with a guess value of 1, – 1,1. Use a tolerance of 0.00001. 8x,x, + x +3x,x; = 6 х -9хх, + х, х, —16 бх, + 3х,х, - x +21= 0 Show all calculations for the first three iterations for each method using a calculator and
Which of the following systems of equations is represented by the given graphs? -3 -2 3 -2 -3- O x – y? = 0 and y – x? = 0 %3D O x + y = 0 and y + x? = 0 O x² – y? = 1 and æ? + y? = 1 O x – y² = 1 and y + x² = 1 5, 2.
Q3. Solve the following linear system by Gauss elimination. Show the intermediate steps. 6x2 + 13x3 = 137.86 6x1 8xз — 85.88 13х1 — 8x. = 178.54
2х — 4y = -34, 1x — 2у = -17. - (a) How many solutions does the system have? If infinitely many, enter "Infinity". Infinity (b) What are the solution to the system? If there are no solutions, write "No Solution" or "None" for each answer. If there are infinitely many solutions let y = t and solve for x in terms of t. X = -17+2t y =
Given the linear system 2х, — бх, — х, — -38 -3x, – x, +7x, =-34 -8x, +x, – 2x, =-20 determine the values of X1 , X2 and X3 using 1. Jacobi Iterative Method; 2. Gauss-Seidel Iterative Method. Note: Do iterations until the approximate error is less than 5%.
Find the solution to following system of equations by Gauss-Seidel Method, accurate to five (5) decimal digits. Start with x1 = x2 = x3 = x4 = x5 = x6 = 0. Show transformed equations.
Solve the following system of four equations using Jacobi Method. Assume initial value of unknowns to be zero (0) with the ff % error of the variables: (x, = -2.49%, x2 = 1.98%, x3 = 3.78%, x4 = 4.18%). Use 4 decimal places for the entire computation. 3x2 – x3 + 8x4 = 15 10x1 – x2 + 2x3 = 6 X1 + 11x2 – x3 + 3x4 = 25 2x1 – x2 + 10x3 – x4 = -11
Solve the system of linear equations by iteration method (4 iteration). x - 4 y +7 z = 10 5x - 4 y + z = 0 - 4x + 6 y - 4 z = 5 1. X= * X= 1/5(3y-2z) X= 1/5(3y-z) X= 1/5(4y-z) 2. y= * y= 1/6(5+4x-4z) y= 1/6(3y-z) y= 1/5(4y-z) 3. Z= * O z= 1/7(10-x-4y) Z= 1/6(3y-x) Z= 1/5(4y-4x) 4. When first iteration * O X= 0, Y=0.833, Z=1.905 X= 0, Y=1.833, Z=1.905 X= 0, Y=0.833 ,Z=3.905 5. When third iteration * X= 1.295 , Y=0.833, Z=3.241 X= 0, Y=1.833 ,Z=1.905 X= 1.295 , Y=3.495, Z=3.241 O O O O O O O O O
4.2) Solve the given system of equations using Gauss-Jordan Reduction method.
Q2 . Use Gauss seidel method to solve 5x,+3xz+x3=4 3x,+2x, - 6x;= 7 -2x1 +4x3+X3=5

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

Using initial estimates for the solution to be {0.0.0}, what is the solution to the system 5x, - 2x, +3x, =-1 -3x +9x, +x, = 2 after a single iteration using Gauss-Seidel Method? 2.x, - x, -7x, = 3 a. {-0.200,0.156. –0.508} b. {0.167.0.334.-0.429} c. {0.191,0.333,-0.422} d. {0.186.0.331,-0.423}