Lu-factorization
In numerical analysis, we take a chance,
To learn about the LU decomposition dance.
It's a factorization of a matrix, you see,
Into lower and upper triangular glee.
Gaussian elimination is the key,
To solve equations, oh so easily.
With LU decomposition, we can find,
The solution to problems of any kind.
Computers love LU decomposition,
To solve linear equations with precision.
Inverting matrices, computing determinants too,
LU decomposition knows just what to do.
Tadeusz Banachiewicz, a Polish star,
Introduced LU in 1938, by far.
He saw the point of matrix factorization,
And called it "decomposition" with admiration.
So let's dance to the beat of LU,
A matrix factorization that's tried and true.
Left and right triangular matrices unite,
In the world of numerical analysis, shining bright.
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