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.