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LU and Cholesky decomposition
This calculator decomposes matrix using LU and Cholesky decomposition.
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Examples
ex 1:
Find an LU decomposition for the matrix
$ A = \left[ \begin{array}{cc}
7 & 3 \\
-1 & 5
\end{array} \right]$.
ex 2:
Find an LU decomposition
$ A = \left[ \begin{array}{cc}
3 & 2 & 1 \\
8 & -3 & 8 \\
-3 & 4 & 1
\end{array} \right]$.
ex 3:
Find Cholesky decomposition
$ A = \left[ \begin{array}{cc}
5 & 4 \\
4 & 5 \\
\end{array} \right]$.
ex 4:
Find Cholesky decomposition
$ A = \left[ \begin{array}{cc}
36 & 30 & 18 \\
30 & 41 & 23 \\
18 & 23 & 14 \\
\end{array} \right]$.
Related calculators
How to input matrix ?
1: Input matrix starting from the upper left-hand corner.
| Example: To input matrix: | $ \left[ \begin{array}{cc} -7 & 1/4 \\ -1.3 & -2/5 \end{array} \right] $ | type |
|
2: You don't need to enter zeros.
| Example: To input matrix: | $ \left[ \begin{array}{ccc} 0 & 1 & 0 \\ -1 & 0 & 0 \\ 0 & 0 & 2/3 \end{array} \right] $ | type |
|
3: You can copy and paste matrix from excel in 3 steps.
| Step 1: Copy matrix from excel | Step 2: Select upper right cell | Step 3: Press Ctrl+V |
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4: You don't need to use scroll bars, since the calculator will automatically remove empty rows and columns.
5: To delete matrix
| Select whole matrix | and click delete |
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