Question: Solve the system Ax = b using the given LU factorization of A. 2 -4 3 3 -1 4 2 2 A = -1 -4

Solve the system Ax = b using the given LU factorization of A.

2 -4 3 3 -1 4 2 2 A = -1 -4 2 4 , b 5 %3D -5

2 -4 3 3 -1 4 2 2 A = -1 -4 2 4 , b 5 %3D -5

Step by Step Solution

★★★★★

3.33 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

We solve the system by the twostep ... View full answer

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

Document Format (2 attachments)

PDF file Icon

1623_606b0df16195c_695538.pdf

180 KBs PDF File

Word file Icon

1623_606b0df16195c_695538.docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Q:

Given (a) Solve the system Ax = b using complete pivoting. (b) Let P be the permutation matrix determined by the pivot rows and let Q be the permutation matrix determined by the pivot columns. Factor...

Q:

In Exercises, solve the system Ax = b using the given factorization A = PTLU. Because PPT = I, PT LUx = b can be rewritten as LUx = Pb. This system can then be solved using the method of Example...

Q:

In Exercises, solve the system Ax = b using the given LU factorization of A. a. b. 1 1 20 1 5 2 4 -2 1 014-2 110 4

Q:

Consider the following. 1 4 3 0 1 0 0 0 1 4 3 0 1 A -2 -5 -1 3 2 -2 = 6-3 -4 1 3 -2 1 0 0 0 03 5 2 -3 b = 00-20 -1 -5-8 9 9 -5 4 -2 1 00 0 1 0 Solve the system Ax = b using the given LU factorization...

Q:

Solve the system Ax = b using the given LU factorization of A. 4 3 -2 2 -5 -1 -2 6. 3 -3 -4 3 -2 -5 9_ 4 -2 1_ -8 3 -3 3 b = -2 -1

Q:

Consider the following y 11 A X 000 2 60 5 10 6 1 32 Use the above to solve the system 000 1 0 0 5 2 1 0 0 1 2 60 Solve the system Ax b using the given LU factorization of A by first solving Ly b for...

Q:

(20 pts.) As a general hint for this problem, you should debug your code using a small example where you know the answer (e.g. use the results from 3a and 4a). (a) Write a code to calculate the L and...

Q:

et A 1 1 1 1 2 2 3 1 4 2 3 6 1 51 1 and b 1 3 2 i Find a lower unitriangular matrix L an upper triangular matrix U and a permutation matrix P such that PA LU ii Solve the system Ax b using the...

Q:

Consider the following two matrices: 0 Oi 9 1 0 19 0 = 1 and U= 0 0 4 13 11 ( 19 ) 19 a. Find a matrix A such that L and U are the LU decomposition of A. b. Solve the system Ax = b using the LU...

Q:

Using Python: In this problem, we'll do the LU decomposition. Again, you can type in the system at the top of the file. Write a function that takes and n times n invertible matrix A and returns...

Q:

As a runners foot touches the ground, the shearing force acting on an 8-mm-thick sole is as shown in Figure. If the force of 25 N is distributed over an area of 15 cm 2 , find the angle of shear q...

Q:

Explain the difference between a bibliographic card and an evidence card.

Q:

You're considering investing a stocking bond. These represent the only two investments available to you at this time. You have the following additional information expect a return. Your stocks is 15%...

Q:

=+z explain the meaning of the term macro environment.

Q:

A meta-analysis examined studies that compared two types of mental health treatments for ethnic and racial minoritiesthe standard available treatments and treatments that were adapted to the clients...

Q:

The research paper on culturally targeted therapy described in Exercise 8.59 reported the following: Across all 76 studies, the random effects weighted average effect size was d = .45 (SE = .04, p

Q:

Your roommate is reading Fantasyland: A Season on Baseballs Lunatic Fringe (Walker, 2006) and is intrigued by the statistical methods used by competitors in fantasy baseball leagues (in which...

Q:

A publicly held corporation must publish an annual report that contains the balance sheet, income statement, statement of cash flows, statement of retained earnings, and other financial information...

Q:

There are three highways from city A to city B, three highways from city B to city C, and two highways from city C to city D. How many different highway routes ar there from city A to city D? highway...

Q:

One year ago, Peyton purchased 3,600 shares of Broncos stock for $101,124. Today, he sold those shares for $26.60 a share. What is the total return on this investment if the dividend yield is 1.9...