Question: Solve the system using the GaussJordan elimination method: a- 3x1 + x2 - 2x3 = 2 x1-2x2+ x3=3 2x1 - x2 - 3x3 = 3

Solve the system using the Gauss–Jordan elimination method:


a- 3x1 + x2 - 2x3 = 2


x1-2x2+ x3=3


2x1 - x2 - 3x3 = 3


b- 2x1 -x2 + 3x4 = 9


4x1 - 2x2 - 5x3 = -10


3x1 + 5x2 + 2x3 -3x4 = 0


-x2+x3-x4=-7

Step by Step Solution

★★★★★

3.51 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
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 Mathematics Questions!

Q:

Solve Problem using Gauss - Jordan elimination. x1 + x2 + 4x3 + x4 = 1.3 -x1+ x2 - x3 = 1.1 2x1 + x3 + 3x4 = -4.4 2x1 + 5x2 + 11x3 + 3x4 = 5.6

Q:

The nonlinear system E1: 4x1 x2 + x3 = x1 x4,....................E2: x1 + 3x2 2x3 = x2 x4, E3: x1 2x2 + 3x3 = x3 x4,........................E4: x21 + x22 + x23 = 1

Q:

Solve Problem using Gauss - Jordan elimination. 2x1 + 4x2 + 5x3 + 4x4 = 8 x1+ 2x2 + 2x3 + x4 = 3

Q:

A system of linear equations was used to analyze the flow of traffic for a network of four one-way streets in Lautoka, Fiji. The data was obtained by counting the number of vehicles that travelled...

Q:

1. Figure 5 shows the graphs of the equations from a system of three linear equations in two variables. How many solutions does the system have? 2. Suppose that after the Gauss-Jordan elimination...

Q:

State the Gauss-Jordan elimination method for solving a system of linear equations.

Q:

Use the GaussJordan elimination method to find all solutions of the system of linear equations. x + 2y -5x - 7y + -x + y 3x + 4y - 5z + 3w = 16 13z - 9w = -50 7z+ 2w = 9 7z+6w = 33

Q:

Use the GaussJordan elimination method to find all solutions of the system of linear equations. x - 3y + 2z = 10 -x + 3y z = -6. -x + 3y + 2z = 6

Q:

Use the GaussJordan elimination method to find all solutions of the system of linear equations. 6x - 2y + 2z = 4 - 3x - y + 2z = 2 -12x + 4y - 8z = 8

Q:

Use the GaussJordan elimination method to find all solutions of the system of linear equations. 2x + 6y + 6z = 0 -3x - 10y + z = 1 -X 4y + 3z = 1 5x + 6y + 8z = 9

Q:

how primary markets and secondary markets affect this pandemic?

Q:

Q21 (EC). 16.10. A test for extrasensory perception (ESP) involves asking a person to tell which of 5 shapes-a circle, star, triangle, diamond, or heart-appears on a hidden com- puter screen. On each...

Q:

Comprehensive Problem Hersheys Big Bang ERP Halloween is the biggest candy season of them all, with $1.8 billion in sales. For Hersheys, Halloween 1999 was the scariest of all time. Hersheys had...

Q:

Costco is running a member-only sales program for Carnival cruise vacation. There are totally 600 cabins on the cruise ship. Fixed cost is $15,000 (includes fuel cost for roundtrip, salary for crews...

Q:

1. Using indicial notation, prove the following (where W is a second-order tensor field and a and b are vector fields). Explain your derivation in detail. ( b)W = (Wb)

Q:

The income statement reports earned income on _____, and the cashflow statement is based on ______. Question 4Answer a. An accrual-basis, accrual basis accounting b. A cash-basis, accrual-basis...

Q:

Compute the ordinary interest, the exact interest, and their difference. Round answers to the nearest cent. Principal Rate Time Ordinary Interest Exact Interest Difference $920 5% 55 days $ $ $

Q:

The Taylor's series expansion for cosx about x = 0 is given by: where x is in radians. Write a user-defined function that determines cosx using Taylor's series expansion. For function name and...

Q:

The total profit (in dollars) from the sale of x calendars is P(x) = 22x - 0.2x2- 400 0 x 100 (A) Find the exact profit from the sale of the 41st calendar. (B) Use the marginal profit to...

Q:

Use Table II on pages 926-928 to find each indefinite integral in Problems 1-14. (5 + 2x)(2 x)

Q:

In Problem, find x1 and x2 96 1

Q:

A Grco-Latin square in its pure form may not be very useful, but extension and replications of it often prove to be quite useful. Consider the following design: where rows, columns and Greek letters...

Q:

11.6 A horticultural experiment conducted in a green house was laid out as a Latin square design, where the blocking factors represent temperature and light inten- sity, respectively. The treatments...

Q:

For an experiment with four input variables, construct a Box-Behnken design using the following BIBD with four treatments and six blocks of size 2: Treatment 1 123 y 4 Blocks 2 3 4 5 6 X X x X X X X...