Question: 8. The Gauss-Jordan elimination method differs from Gaussian elimination in that the elements above the main diagonal of the coefficient matrix are made zero

8. The Gauss-Jordan elimination method differs from Gaussian elimination in that the elements above the main diagonal of the coefficient matrix are made zero

8. The Gauss-Jordan elimination method differs from Gaussian elimination in that the elements above the main diagonal of the coefficient matrix are made zero at the same time and by the same use of a pivot row as the elements below the main diagonal. a. Apply the Gauss-Jordan method to the system of Problem 1 of these exercises. b. What general design strategy is this algorithm based on? c. In general, how many multiplications are made by this method in solving a system of n equations in n unknowns? How does this compare with the number of multiplications made by the Gaussian elimination method in both its elimination and back-substitution stages? 1. Solve the following system by Gaussian elimination: x + x + x3 = 2 2x + x + x3 = 3 x - x + 3x3 = 8.

Step by Step Solution

★★★★★

3.43 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

answer a The GaussJordan method for Problem 1 is as follows 1 Multiply row 1 by 2 2x1 2x2 2x34 2x1 x... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

The 3-kg crate rests on the 10-kg cart where the coefficients of static and kinetic friction are s = 0.25 and k = 0.2, respectively. Determine the smallest constant force P needed to cause the...

Two runners start a race at the same time and finish in a tie. Prove that at some time during the race they have the same speed.

Two runners start a race at the same time and finish in a tie. Prove that at some time during the race they have the same speed. Consider f(t) = g(t) - h(t), where g and h are the position function...

Two canoeists start paddling at the same time and head toward a small island in a lake, as shown in FIGURE 4-18. Canoeist 1 paddles with a speed of 1.10 m/s at an angle of 45° north of east....

1411116 - Programming I Assignment #3 Due Date: November 30, 2016 Submission Instructions: Submit your assignment on the blackboard link, corresponding to your Section: Please follow the following...

Solve Gauss Jordan VBA 'Daniel Schmitt Option Explicit Option Base 1 Sub gauss_jordan() Dim A As Variant, b As Variant, MyRange As Variant Dim AugMatrix() As Variant, x() As Double, f As Double Dim i...

Solve the system of equations using matrices Use the Gaussian elimination method with back substitution Use the Gaussian elimination method to obtain the matrix in row echelon form Choose the correct...

Please advise what is the next step ? Question 4. Solve the system of equations using matrices. Use Gaussian elimination method with back - substitution 4x - 4 4+52 - -4y = 4 -4 5 - 44 5x 45 \ + 2 -...

Consider the following set of equations in variables $1, 12, 13: F1 + 2x2 + 313 = 1 2x2 + 313 = 2 1 + mrs = 5 Assume that m is a parameter. Write the system of equations (1) - (3) in matrix form: Ar...

a Chapter 8. Q6 Homework 0 Unanswered KNN stands for Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a Knowledge that's Non-Numeric b Knowledge...

pls answers only 3. [-/4 Points] DETAILS ZILLDIFFEQMODAP11 8.3.002.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following nonhomogeneous system. dx = 5x + 9y + 5, dy = -x + 1ly + 15 dt...

Discuss the difference between Shareholder and Stakeholder theories of business, with reference to issues concerning the environment.

Ceteris paribus, a reduction in the federal funds rate affects car loan rates in the following manner: Group of answer choices Car loan rates will decrease. Car loan rates will stay the same. Car...

Recall that the Poisson distribution with a parameter value of = up can be used to approximate the B(n, p) distribution when n is very large and the success probability p is very small. A box...

If X ~ P(3.2), calculate: (a)P(X = 1) (b)P(X 6) (d) P(X = 0|X

Businesses, particularly those in the food preparation industry such as General Mills, Kellogg, and Betty Crocker, regularly use coupons as a brand allegiance builder to stimulate their retailing....

A plate has 15 cakes on it, of which 9 are chocolate and 6 are strawberry. A child randomly selects 5 of the cakes and eats them. What is the probability that the number of chocolate cakes remaining...

A jury of 12 people is selected at random from a group of 16 men and 18 women. What is the probability that the jury contains exactly 7 women? Suppose that the jury is selected at random from a group...

solve Requirement 4. Interpret the variances. The v labor rate variance means that Earthern Ware paid in labor cost per hour than budgeted

Suppose Ãgn = (ngn. Let the eigenfunctions gn be expanded in terms of the complete orthonormal set {(i} according to

Show that the maximum value for 2py [Eq. (6.123)] is k3/2 -1/2e-1. Use Eq. (6.123) to plot the 2py contour for which = 0.316max.

Verify (17.64) for the PPP F matrix elements.

Taylor Marina has 300 available slips that rent for $800 per season. Payments must be made in full by the start of the boating season, April 1, 2020. The boating season ends October 31, and the...

Amigos Burrito Inc. sells franchises to independent operators throughout the northwestern part of the United States. The contract with the franchisee includes the following provisions. 1. The...

The financial statements of adidas (DEU) and Puma (DEU) are presented in Appendices B and C, respectively. The complete annual reports, including the notes to the financial statements, are available...