Question Solved1 Answer 15. Find the PA = LDU factorizations (and check them) for = ſo 1 1 [ 1 2 1 and A= A= 1 0 1 2 3 4 2 4 2 1 1 1

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Transcribed Image Text: 15. Find the PA = LDU factorizations (and check them) for = ſo 1 1 [ 1 2 1 and A= A= 1 0 1 2 3 4 2 4 2 1 1 1
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Transcribed Image Text: 15. Find the PA = LDU factorizations (and check them) for = ſo 1 1 [ 1 2 1 and A= A= 1 0 1 2 3 4 2 4 2 1 1 1
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Solutionsa) Given A=[[0,1,1],[1,0,1],[2,3,4]]Iam using Gaussian Elimination Method here. R_(1)rarrR_(2)=>[[1,0,1],[0,1,1],[2,3,4]] R_(3)rarrR_(3)-2R_(3)=>[[1,0,1],[0,1,1],[0,3,2]] R_(3)rarrR_(3)-3R_(2)=>[[1,0,1],[0,1,1],[0,0,-1]] =>U=[[1,0,1],[0,1,1],[0,0,-1]]L= Multplers used in Gaussian elimination method with 18 on the daganal=>L=[[1,0,0],[0,1,0],[2,3,1]]=> LU dccompositoon for A isb) Criven A=[[1,2,1],[2,4,2],[ ... See the full answer