Q1. Determine the solution of the given problems: (CLO_4): (Cognitive Level C5, i.e., Evaluating) (PLO_2, i.e., Problem Analysis) a) Determine the solution of system of linear equations by Crout's method (LU factorization or decomposition): 10x + 2x 3y + 4z = 15 10y + 3z = 37 10z = -10 b) Estimate the solution of system of linear equations: - 3x + 2y - 2x + y + 6z = 9 8x + 3y + 2z = 13 X + 5y + Z = 7 Continue iterations until two successive approximations are identical when rounded to three significant digits.
Q1. Determine the solution of the given problems: (CLO_4): (Cognitive Level C5, i.e., Evaluating) (PLO_2, i.e., Problem Analysis) a) Determine the solution of system of linear equations by Crout's method (LU factorization or decomposition): 10x + 2x 3y + 4z = 15 10y + 3z = 37 10z = -10 b) Estimate the solution of system of linear equations: - 3x + 2y - 2x + y + 6z = 9 8x + 3y + 2z = 13 X + 5y + Z = 7 Continue iterations until two successive approximations are identical when rounded to three significant digits.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Solve Part (a) and Part (b)
Transcribed Image Text:Q1.
Determine the solution of the given problems:
(CLO_4): (Cognitive Level C5, i.e., Evaluating) (PLO_2, i.e., Problem Analysis)
a) Determine the solution of system of linear equations by Crout's method (LU factorization or
decomposition):
10x +
2x
3x +
3y + 4z = 15
10y +
3z = 37
2y
10z = -10
b) Estimate the solution of system of linear equations:
+ y + 6z = 9
2z = 13
+ 5y + Z = 7
2x
8x + 3у +
X
Continue iterations until two successive approximations are identical when rounded to three
significant digits.
(CLO_5): (Cognitive Level C5, i.e., Evaluating) (PLO_2, i.e., Problem Analysis)
c) Estimate f (26.5), by using Newton divided formula:
25
26
X
f (x)
4.000
3.846
27
5026
3.704
28
3.571
29
d) The area A of a circle of diameter d is given for the following values:
d (Diameter)
80
85
90
95
A (Arear)
5674
Calculate the area of a circle of diameter 83.
6362
3.448
7088
30
3.333
100
7854
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