Hello, everyone.

My name is Maged kamel,I am a civil engineer.

I have tried to some extent to start the illustration.

We will discuss the Lu decomposition subject.

I will introduce a solved problem of 2x2 matric.

The idea behind Lu decomposition is that it is possible that any square matrix A can be expressed as a product of what is called lower triangular matrix L and Upper triangular Matrix U.

For example, if we have two sets of equations (2 x + 3 y = 13) and (3 x + 4 y = 18), which constitute a matrix of 2x2, we are calling this matrix A.

This Matrix A will be set to be equal to two matrices multiplied by each other One of these is called the lower Matrix. The other one is called the upper matrix


The lower matrix property is a matrix. That has a diagonal, which is non-zero and the lower corner is having a value which not zero while in the upper corner each element will be=0.
On the contrary, the upper matrix is a matrix that has a diagonal of non zero and the upper corner is also is non zero, while the lower corner is =zero. Just why this is called a lower matrix it is enclosed by a diagonal and lower bottom While the upper matrix is enclosed by the diagonal and the upper right-hand side. For the symbols. thus the matrix can be decomposed by using the Lu decomposition method.

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