# Matrix Rank Calculator

Here you can calculate **matrix rank** with complex numbers online for free with a very detailed solution. Matrix rank is calculated by reducing matrix to a row echelon form using elementary row operations.

Have questions? Read the instructions.

### About the method

To calculate a rank of a matrix you need to do the following steps.

- Set the matrix.
- Pick the 1st element in the 1st column and eliminate all elements that are below the current one.
- Pick the 2nd element in the 2nd column and do the same operations up to the end (pivots may be shifted sometimes).
- Rank is equal to the number of "steps" - the quantity of linearly independent equations.

To understand rank calculation better input any example, choose "very detailed solution" option and examine the solution.