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# Calculators :: Matrices :: Matrix calculator

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

The calculator will perform symbolic calculations whenever it is possible.

## Basic Matrix Operations Calculator

In this section you can find inverse , determinant, rang , trace and transpose of the given matrix.
Scroll down to see some tips on how to input matrices.

## Eigenvalues & Eigenvectors Calculator

In this section you can find Characteristic polynomial , Eigenvalues and Eigenvectors of the given matrix.
Scroll down to see some tips on how to input matrices.

## Matrix Decomposition Calculator

In this section you can decompose matrix using LU and Cholesky decomposition.
Scroll down to see some tips on how to input matrices.

 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

## 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