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# LU and Cholesky decomposition

This calculator decomposes matrix using LU and Cholesky decomposition.

Matrix decomposition calculator
show help ↓↓ examples ↓↓
Input matrix
 Choose decomposition method
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examples
example 1:ex 1:
Find an LU decomposition for the matrix $A = \left[ \begin{array}{cc} 7 & 3 \\ -1 & 5 \end{array} \right]$.
example 2:ex 2:
Find an LU decomposition $A = \left[ \begin{array}{cc} 3 & 2 & 1 \\ 8 & -3 & 8 \\ -3 & 4 & 1 \end{array} \right]$.
example 3:ex 3:
Find Cholesky decomposition $A = \left[ \begin{array}{cc} 5 & 4 \\ 4 & 5 \\ \end{array} \right]$.
example 4:ex 4:
Find Cholesky decomposition $A = \left[ \begin{array}{cc} 36 & 30 & 18 \\ 30 & 41 & 23 \\ 18 & 23 & 14 \\ \end{array} \right]$.

## 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

### 5: To delete matrix

 Select whole matrix and click delete
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