Question: Write a python code to find A inverse by applying the lu decomposition on A and then solving the n linear systems LUx i =e

Write a python code to find A inverse by applying the lu decomposition on A and then solving the n linear systems LUx_i=e_ifor 1<=i<=n with appropriate substitution methods. Let e_i be the standard basis vector with a 1 in the i-th entry and 0 everywhere else.

Step by Step Solution

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 Databases Questions!

For a general matrix A, write a python code to find A inverse by first applying LU decomposition on A and then solving the n linear systems LUxi = ei for 1

Please answer within 10hrs and I'll give u thumbs up. First pic is the question and the other pic is previous question and answer for your reference. thank you. Q4. From the previous questions, we...

Please answer Q2/Q3 and show the python code with a picture as well Q1. (Gaussian elimination) Write a python code for solving a system of linear equations by Gaussian elimination. Written in matrix...

Problem 3 [4 pts]: Develop a computer program that solves matrix equation AX = B, using LU decomposition. Here A is an n x n square matrix, B is an n x m matrix. (Therefore the dimensions of the...

3. (Applying LU and LUP decompositions, 16pt) In this problem, we'll use the LU/LUP decomposition to solve a linear system of equations. a) [4pt] For A [11-15-13 -13 5;14 -8 16 -3 -17;-14 1 16 14...

3. (Applying LU and LUP decompositions, 16pt) In this problem, we'll use the LU/LUP decomposition to solve a linear system of equations. a) [4pt] For A= [11-15-13 -13 5:14 -8 16-3-17;-14 1 16 14...

4. (Applying LU and LUP decompositions, 14pt) In this problem, we'll use the LU/LUP decomposition to solve a linear system of equations. a) [3pt] For A=[4141147;74283;1010889;1196212;610102013]; find...

(Q1) Let A be an nn matrix with real entries and distinct eigenvalues. There are a few ways to measure the condition of A. In general, the condition number is given by (A) = ||A|| ||A1 ||. It...

You must create ONE .pdfile that contains the following: Page 1 will be your report - the TA will only read and mark page 1 - if there is additional writing on any other page, it will be ignored and...

Problem 5 Compute the solution to the original system of equations by transforming y into x, i.e., compute x = inv(U)y. Solution: %code Problem 6 Check your answer for x using Cramer's Rule. Use...

Adenylyl cyclase catalyzes the conversion of ATP to cyclic AMP (CAMP). This reaction occurs via a nucleophilic substitution. Label the atoms that act as the nucleophile and the electrophile in the...

Benjamin Franklin, according to the American Bankers Association, left $5,000 to the residents of Boston in 1791, with the understanding that it should be allowed to accumulate for a hundred years....

BE9.1 (LO 1) Previn Brothers Inc. purchased land at a price of $27,000. Closing costs were $1,400. An old building was removed at a cost of $10,200. What amount should be recorded as the cost of the...

A company is preparing completing their Cash Budget. The following data has been prepared for cash receipts and payments. January February March Cash receipts $1,061,200 $1,182,400 $1,091,700 Cash...