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# Matrix calculator

This matrix calculator computes determinant , inverses, rank, characteristic polynomial, eigenvalues and eigenvectors. It decomposes matrix using LU and Cholesky decomposition

The calculator will perform symbolic calculations whenever it is possible.

Basic Operations
Examples ↓↓
Eigenvalues & Eigenvectors
Examples ↓↓
Matrix Decomposition
Examples ↓↓
Input matrix:
 Find Inverse (default) Find Determinant Find Trace Find Matrix Rank Find Transpose
 Find Characteristic polynomial (default) Find Eigenvalues and Eigenvectors
 Find LU Decomposition (default) Find Cholesky decomposition
working...
examples
example 1:ex 1:
Find the inverse of the matrix $A = \left[ \begin{array}{cc} -3 & 2 \\ -5 & 4 \end{array} \right]$.
example 2:ex 2:
Find the determinant of the matrix $A = \left[ \begin{array}{cc} 4 & 8 & 5 \\ -3 & 2 & 6 \\ 11 & -3 & 5 \end{array} \right]$.
example 3:ex 3:
Find the rank of the matrix $A = \left[ \begin{array}{cc} -1 & 2 & 4 & 1 \\ 5 & 3 & 1 & 1 \\ 3 & 7 & 9 & 3 \end{array} \right]$.
example 4:ex 4:
Find the eigenvalues and eigenvectors of the matrix $A = \left[ \begin{array}{cc} 2 & 2 \\ 5 & -1 \end{array} \right]$.
example 5:ex 5:
Find the characteristic polynomial of the matrix $A = \left[ \begin{array}{cc} 1 & 1 & 2 \\ 1 & 2 & 1 \\ 0 & -1 & -1 \end{array} \right]$.

## Tips on how to input matrix ?

### 1: Input matrix starting from the upper lefthand 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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