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А. matrices E21, E31, and E32. Find the LU factorization of the following matrix. Write out the elimination 2 4 21 4 10 10 -6 -12 -4] В. Find the entries of both L and U such that LU = A as shown below. You must first find the product of LU and then use the concept of equal matrices. 01 ju11 U12 U13] [2 4 -2 LU = |l21 1 U22 U23 = 16 15 -5 l31 132 11 U33] L3 -12 -18]

А. matrices E21, E31, and E32. Find the LU factorization of the following matrix. Write out the elimination 2 4 21 4 10 10 -6 -12 -4] В. Find the entries of both L and U such that LU = A as shown below. You must first find the product of LU and then use the concept of equal matrices. 01 ju11 U12 U13] [2 4 -2 LU = |l21 1 U22 U23 = 16 15 -5 l31 132 11 U33] L3 -12 -18]

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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А. Find the LU factorization of the following matrix. Write out the elimination matrices E21, E31, and E32. 2 4 21 4 10 10 -6 -12 -4] В. Find the entries of both L and U such that LU = A as shown below. You must first find the product of LU and then use the concept of equal matrices. 01 ju11 U12 U13] [2 4 -2 l21 ll31 l32 1] LU = 1 U22 U23 15 -5 U33] 13 -12 -18]
Transcribed Image Text:А. Find the LU factorization of the following matrix. Write out the elimination matrices E21, E31, and E32. 2 4 21 4 10 10 -6 -12 -4] В. Find the entries of both L and U such that LU = A as shown below. You must first find the product of LU and then use the concept of equal matrices. 01 ju11 U12 U13] [2 4 -2 l21 ll31 l32 1] LU = 1 U22 U23 15 -5 U33] 13 -12 -18]
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