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.

1. Set the matrix.
2. Pick the 1st element in the 1st column and eliminate all elements that are below the current one.
3. Pick the 2nd element in the 2nd column and do the same operations up to the end (pivots may be shifted sometimes).
4. 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.