Gaussian elimination and Gauss-Siedel
Not what you're looking for?
Please see attached pdf file with 4 problems on Gauss Elimination as well as Gauss-Siedel.
Purchase this Solution
Solution Summary
The solution shows how to solve systems of equations using Gaussian elimination and Gauss-Siedel.
Solution Preview
Please see the attached file.
There are four problems:
Question 1:
12x - 8.6y = 52.16
5.3x + 17y = 114.55
Writing the augmented matrix of the system,
(A, b) =
Dividing R1by 12 and R2 by 5.3 gives
~
~ (R2 - R1)
~ (R2/ )
This is the final RREF form of the augmented matrix.
Working the way up, y = 4.4
And x - 0.7166666667y = 4.3466666667, which gives x = 0.7166666667*4.4 + 4.3466666667 = 7.5
Therefore, the solution set is (7.5, 4.4). This system does not seem to be highly sensitive to changes in the values on the right hand side, because the final solution is only one place after decimal.
Question 2:
(a) The starting matrix system is:
Matrix Three bi's Checksum
1.7 2.3 4.7 10.5 11.03 10.5 40.73
3.9 1.2 -2.1 3 2.85 3 11.85
-3 5.1 3 4.9 4.9 5.15 20.05
Dividing R1 by 1.7, R2 by 3.9, and R3 by -3 gives
Matrix Three bi's Checksum
1 1.352941 2.764706 6.176471 6.488235 6.176471 23.958824
1 0.307692 -0.53846 0.769231 0.730769 0.769231 3.0384615
1 -1.7 -1 -1.63333 -1.63333 -1.71667 -6.683333
R2 - R1 and R3 - R1 gives:
Matrix Three ...
Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.