Using initial estimates for the solution to be {0,0,0}, what is the solution to the system5x - 2.x, +3x, =-1%3D-3x +9x, +x, =2 after two iterations of Jacobi Method?2.x - X,-7x, = 3a. {-0.200,0.222.-0.429}b. {0.146.0.203. – 0.517}c. {0.192,0.328, –0.416}d. {0.181,0.332.-0.421}

To easy understand let x1 = a, x2 = b, x3 = c The given equations are 5a-2b+3c=-1-3a+9b+c=22a-b-7c=3

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

X, + X, - 3x, = 1 -X, +2x, = 1 Given: X, - x, + x, = 2 Which of the following is the solution set of the linear system? O x1=11/6 ;x2=8/3 and x3-7/6 O x1=6 ;x2=8/3 and x3=-7/6 O x1=8/3 ;x2=11/6 and x3-7/6 O no solution set O x1=1/6 x2=8/3 and x3=7/6 No nev earch acer F3 %23 F4 F5 F6 F7 F8 64 F9 F10 AI %24 4. & 5. %# 3m
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
Use 3 iterations Use Gauss-Seidel iteration to find the root x3) = (x,(3) X3) of the following system of equations with initial guess X = (0,0,0) 5x,-X2+2x3= 12 3x1+8x2-2x3 = - 25 X1+x2+4X3=6
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 =
X2 - X4 = bị -X1 + x3 = b2 -x2 + x4 = b3 X1 – X3 = b4 a, Find the two conditions on b,, b2, b3, b4 such that the system is consistent. b, Find the general solution when bị = 1, b2 = 0, b3 = -1, b4 = 0. c, For the same values of b,, b2, b3, bą as in part 2, find a particular solution for which X1 = x2 = 0
2x + y + z = 10 Зх + 2у + 3z %3D 18 X + 4y + 9z = 16 [CLO1] The first step to solve the above linear system using Gaussian Elimination is to apply the following: row2 = row2 - m21 * row, Then, to apply the following: row3 = row2 – m31 * row, What are the values of m21 and m31? m21 = m31 =
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.
Identify the hypothesis, conclusion, converse, inverse, contrapositive of the following conditionals. 1. If Math is a science, then it is exacthypothesis:conclusion:converse:inverse:contrapositive: 2. It is a rose whenever it is a flower.hypothesis:conclusion:converse:inverse:contrapositive: 3. Tomorrow is Monday, if today is Sunday.hypothesis:conclusion:converse:inverse:contrapositive: 4. A number divisible by 9 is a sufficient condition for a number to be divisible by 3.hypothesis:conclusion:converse:inverse:contrapositive:
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.

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 two iterations of Jacobi Method? 2x, -ュ-7x, =3 a. {-0.200,0.222.-0.429} b. {0.146,0.203.–0.517} c. {0.192,0.328,-0.416} d. {0.181,0.332,-0.421}