Find the LU-Factorization of the matrix A below A=[(2,1,-1),(-2,0,3),(2,1,-4),(4,1,-4),(6,5,-2)]

Kaycee Roche 2021-02-24 Answered
Find the LU-Factorization of the matrix A below
A=[211203214414652]
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Expert Answer

escumantsu
Answered 2021-02-25 Author has 98 answers
Step 1
Given
[211203214414652]
Step 2
Solution
L=Lower triangular matrix
U=Upper triangular matrix
A=[211203214414652][211012003012021](R2R2+R1R3R3R1R4R42R1R5R53R1)
[211012003000003]R4R4+R2,R5R52R2
[211012003000000]R5R5R3
U=[211012003000000]
Step 3
And lower triangular matrix that is L is calculated by the entries are the number in the 0 respectively.
i.e., L=[100110101210321]
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