find an LU factorization of the given matrix. [(2,2,-1),(4,0,4),(3,4,4)]

tricotasu 2021-03-08 Answered
find an LU factorization of the given matrix.
[221404344]
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Expert Answer

Jozlyn
Answered 2021-03-09 Author has 85 answers
Step 1
To solve, we use the multiplier method.
In an elementary row operation is of the form RikRj , where k is called the scalar multiplier.
A=[221404344]
=[22104601112]R2R22R1
R3R332R1
=[221046007]R3R3(14)R2
Step 2
The multipliers were I21=2,I31=32andI32=14 , so we get
L=[11021032141]
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