Let A and b be the matrices A = 1 2 4 17
3 6 ?12...
80.2K
Verified Solution
Link Copied!
Question
Basic Math
Let A and b be the matrices A = 1 2 4 17
3 6 ?12 3
2 3 ?3 2
0 2 ?2 6
and b = (17, 3, 3, 4) . (a) Explain why A does not have an LUfactorization. (b) Use partial pivoting and find the permutationmatrix P as well as the LU factors such that PA = LU. (c) Use theinformation in P, L, and U to solve Ax = b
Answer & Explanation
Solved by verified expert
4.2 Ratings (898 Votes)
Given matrix is A Now This shows that A cannot be expressed as a product of a lowertriangular matrix and an upper triangular matrixTherefore A does not have an LU
See Answer
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
