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  3. let a and b be the matrices a = 1 2 4 17 3 6 ?12..

Let A and b be the matrices A = 1 2 4 17 3 6 ?12...

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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
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