1. Find the solution to the system -5x1 + 3x2 + 9x3 = -17 2x1 + x2 - X3 = 12 2x1 - 8x2 + 5x3 = -5 using Jacobi Iterative Method with an approximate error of less than 10% using an initial guess of zero for all values of x's. Round-off intermediate values to 6 decimal places and the answer to 4 decimal places. How many iterations were made to find the answer? Reminder: Make sure the system is Diagonally Dominant before doing the iterations.
1. Find the solution to the system -5x1 + 3x2 + 9x3 = -17 2x1 + x2 - X3 = 12 2x1 - 8x2 + 5x3 = -5 using Jacobi Iterative Method with an approximate error of less than 10% using an initial guess of zero for all values of x's. Round-off intermediate values to 6 decimal places and the answer to 4 decimal places. How many iterations were made to find the answer? Reminder: Make sure the system is Diagonally Dominant before doing the iterations.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Pls Answer question number 1 thank you
![1. Find the solution to the system
-5x1 + 3x2 + 9x3 = -17
2x1 + x2 - x3 = 12
2x1 – 8x2 + 5x3 = -5
using Jacobi Iterative Method with an approximate error of less than 10% using an initial guess of
zero for all values of x's.
Round-off intermediate values to 6 decimal places and the answer to 4 decimal places.
How many iterations were made to find the answer?
Reminder: Make sure the system is Diagonally Dominant before doing the iterations.
2. Using Jacobi Iterative Method, obtain the solution to the system
X1 + 5x2 + 3x3
3x1 + 7x2 + 13x3 = 80
12x1 + 3x2 – 5x3 = 2
30
with x, x", x = [1, 2, 3] until the approximate error is less than 1%.
(0)
(0)
, X3
Round-off intermediate values to 7 decimal places and the answer to 5 decimal places.
How many iterations were done to find the answer?
3. Solve the following system
2x1 – 6x2 – X3 = -38
-3x1 – x2 + 7x3 = 34
-8x1 + x2 – 2x3 = 20
using the Jacobi Method with the first approximations as
X1 = -2, x2 = 4 , x3 = 3
Round-off intermediate values to 6 decimal places and the answer to 4 decimal places.
How many iterations were made to solve the system?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e014ccc-7b21-42f7-a1c9-6e7fba08eb28%2F123fd070-ef19-4a25-bf3a-a8ef26caf17c%2Frnj6gsp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Find the solution to the system
-5x1 + 3x2 + 9x3 = -17
2x1 + x2 - x3 = 12
2x1 – 8x2 + 5x3 = -5
using Jacobi Iterative Method with an approximate error of less than 10% using an initial guess of
zero for all values of x's.
Round-off intermediate values to 6 decimal places and the answer to 4 decimal places.
How many iterations were made to find the answer?
Reminder: Make sure the system is Diagonally Dominant before doing the iterations.
2. Using Jacobi Iterative Method, obtain the solution to the system
X1 + 5x2 + 3x3
3x1 + 7x2 + 13x3 = 80
12x1 + 3x2 – 5x3 = 2
30
with x, x", x = [1, 2, 3] until the approximate error is less than 1%.
(0)
(0)
, X3
Round-off intermediate values to 7 decimal places and the answer to 5 decimal places.
How many iterations were done to find the answer?
3. Solve the following system
2x1 – 6x2 – X3 = -38
-3x1 – x2 + 7x3 = 34
-8x1 + x2 – 2x3 = 20
using the Jacobi Method with the first approximations as
X1 = -2, x2 = 4 , x3 = 3
Round-off intermediate values to 6 decimal places and the answer to 4 decimal places.
How many iterations were made to solve the system?
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