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Part2 - How do I decompose a non-singular matrix [A], that is, how do I find A=LU?
Posted by BMFRGuru at 7:49 PMExample 1
Find the LU decomposition of the matrix
The matrix is the same as found at the end of the forward elimination of Naïve Gauss elimination method
To find and
and
elements zero in the first step of forward elimination of Naïve Gauss Elimination Method
It was
= 2.56
= 5.76
To find element zero. Remember
element was made zero in the second step of forward elimination. The
matrix at the beginning of the second step of forward elimination was
So
= 3.5
Hence
Confirm
.
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