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## Homework Statement

For the choelsky method , i was told by my lecturer that all the leading diagonal a11 , a22 and a33 must be the same... But , when I tried to find online resources , I found that that it's not stated in the rule that the leading diagonal a11 , a22 and a33 must be the same ...

5x1 + 2x2 = 2

2x1 + 5x2 + 2x3 = 2

2x2 + 5x3 = 8

In this example , I was told that it

**cant be solved by Thomas method**( can only be solved by

**Cholesky method)**although the a13 and a31 = 0 ...

**( According to Thomas method , the matrix a13 and a31 must be 0 )**

$$\begin{bmatrix}

5 & 2& 0 & 2 \\

2 & 2 & 2 & 2 \\

0 & 2 & 5 & 8

\end {bmatrix} $$

https://en.wikipedia.org/wiki/Cholesky_decomposition

https://en.wikipedia.org/wiki/Tridiagonal_matrix_algorithm

## Homework Equations

## The Attempt at a Solution

So , I think that my lecture's is wrong . I think for Cholesky method that the a11 , a22 and a33 can or cannot be the same ..

I think the above equation can also be solved by Thomas method [/B]

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