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*LU Decomposition is also called LU Factorization.Here given matrix is split in to lower triangular and Upper triangular matrix.
 
*LU Decomposition is also called LU Factorization.Here given matrix is split in to lower triangular and Upper triangular matrix.
 
*For 2x2 matrix,
 
*For 2x2 matrix,
\begin{bmatrix}
+
<math>\begin{bmatrix}
 
a_{11}      & a_{12}      \\
 
a_{11}      & a_{12}      \\
 
a_{21}& a_{22}
 
a_{21}& a_{22}
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u_{21}      & u_{12}      \\
 
u_{21}      & u_{12}      \\
 
0 & u_{22}
 
0 & u_{22}
\end{bmatrix}
+
\end{bmatrix}</math>
 
*For 3x3 matrix,
 
*For 3x3 matrix,
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