Question: Solve each of the systems in Exercise 6 by Gaussian elimination. In Exercise 6 (a) x1 + x2 + 2x3 = 8 - x1 -

Solve each of the systems in Exercise 6 by Gaussian elimination.
In Exercise 6
(a) x1 + x2 + 2x3 = 8
- x1 - 2x2 + 3x3 = 1
3x1 - 7x2 + 4x3 = 10
(b) x - y + 2z - w = - 1
2x + y - 2z - 2w = - 2
- x + 2y - 4z + w = 1
3x - 3w = - 3

Step by Step Solution

★★★★★

3.34 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a We reduced the augmented matrix to the following rowechelon matrix By Row 3 x 3 2 thus by Row ... 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

Document Format (1 attachment)

938-M-L-A-E (1030).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

The Cold City Public Works department (CCPW) is choosing the manufacturer for a new fleet of snow plows. They are considering plows made by We Move Snow Corporation (WMSC) and also plows made by Snow...

Cramer's Rule Solve each of the systems in problem 1-3 by employing Cramer's Rule. In problem 2, ( is a parameter? 1. x + 2y = 2 2x + 5y = 0 2. x + y = ( x + 2y = 1 3. x + y + 3z = 5 2y + 5z = 7 x +...

The system 2x = -6, -4x + 3y = 3, x + 4y-z = 7, is in lower triangular form. (a) Formulate a method of Forward Substitution to solve it. (b) What happens if you reduce the system to the (upper)...

Write out the coefficient matrix for each of the systems in Exercise 1. In Exercise 1 x1 + x2 + x3 + x4 + x5 = 5 2x2 + x3 - 2x4 + x5 = 1 4x3 + x4 - 2x5 = 1 x4 - 3x5 = 0 2x5 = 2

Solve each of the systems in Exercise 10 by Gaussian elimination. In Exercise 10 (a) 5x1 - 2x2 + 6x3 = - 2x1 + x2 + 3x3 = 1 (b) w + 2x - y = 4 x - y = 3 w + 3x - 2y = 7 2u + 4v + w + 7x = 7

1 of 40 2.5 Points The half-life of the radioactive element krypton-91 is 10 seconds. If 16 grams of krypton-91 are initially present, how many grams are present after 10 seconds? 20 seconds? A. 10...

Twelfth homework assignment (Feb 28) Exercise 1. Express the following system as an augmented matrix. Do not solve. 12x1 + 8x2 6x3 7x4 = 13 6x1 4x2 +5x3 x4 = 22 5x1 2x2 16x3 + 2x4 = 5 12x1 + 7x2 3x3...

2.5 Points Question 1 of 40 Give the order of the following matrix; if A = [aij], identify a32 and a23. 1 -5 e 0 7 -6 - -2 1/2 11 -1/5 A. 3 * 4; a32 = 1/45; a23 = 6 B. 3 * 4; a32 = 1/2; a23 = -6 C. 3...

Modify the Cholesky Algorithm as suggested in the text so that it can be used to solve linear systems, and use the modified algorithm to solve the linear systems in Exercise 7. In Exercise 7 a. 2x1 ...

Consider the four 3 3 linear systems having the same coefficient matrix: 2x 1 3x 2 + x 3 = 2, 2x 1 3x 2 + x 3 = 6, x 1 + x 2 x 3 = 1, x 1 + x 2 x 3 = 4, x 1 + x 2 3x 3 = 0; x 1 + x 2 3x 3 = 5;...

Use the modified algorithm developed in Exercise 9 to solve the linear systems in Exercise 8. In Exercise 7 a. 2x1 x2 = 3, x1 + 2x2 x3 = 3, x2 + 2x3 = 1. b. 4x1 + x2 + x3 + x4 = 0.65, x1 + 3x2 x3...

Explain why don't I feel the miles of air above me that are crushing me down?

The International Public Sector Accounting Standards (IPSAS) recommend the use of accrual basis of accounting for public sector entities. Discuss the case for and against the use of accrual basis of...

10.59 Calculate the output impedance of the circuit shown in Fig. 10.102. 0.2V -120 HH + V- 140 10 www

Night Watch Company recently began production of a new product, the halogen light, which required the investment of $500,000 in assets. The costs of producing and selling 12,000 halogen lights are...

Nonmonetary Exchange McArthur Inc. has negotiated the purchase of a new piece of automatic equipment at a price of $7,000 plus trade-in, f.o.b. factory. McArthur Inc. paid $7,000 cash and traded in...

Two investment opportunities are as follows: At the end of 10 years, Alt. B is not replaced. 'Thus, the comparison is 15 years of A versus 10 years of B. If the MARR is 10%, which alternative should...

Two mutually exclusive alternatives are being considered. Both have a 10-year useful life. If the MARR is 8%, which alternative is preferred? A Initial cost Uniform annual benefit $100.00 $50.00...

Presented below is the current liabilities section and related note of Mohican Company. InstructionsAnswer the following questions.(a) What is the difference between the cash basis and the accrual...

2. What are the important leakages in the multiplier?

In Section 1.1 we studied the method of elimination for solving linear systems Ax = b. In Equation (2) of this section we showed that the solution is given by x = A-l b, if A is nonsingular. Using...

Experiment with your software to determine the behavior of the matrix sequence Ak as k for each of the following matrices: (a) (b) 011 110

Let p and q be nonnegative integers and let A be a square matrix. Show that Ap Aq = Ap+q and (Ap)q = Apq.

At Desi's Dessert Destination, the probability that a customer orders coffee is 0.61, the probability that a customer orders pie is 0.33, and the probability that a customer orders both coffee and...

Need assistance with java files for final project: collection manager. I just had cancer surgery and my final project suffered because of it. Is there anyone who would be willing to provide me the...

Five members of the Mutual Admiration Club and five members of the Pay It Forward Club had a competition to see which team, on average, could stare into another club member's eyes the longest. Their...