# Rank of Matrix Calculator

The calculator will find the rank of the matrix, with steps shown.

Related calculators: Basis Calculator, Linear Independence Calculator

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Find the rank of $\left[\begin{array}{ccc}1 & 2 & 3\\2 & 5 & 7\\4 & 9 & 13\end{array}\right]$.
The row echelon form of the matrix is $\left[\begin{array}{ccc}1 & 2 & 3\\0 & 1 & 1\\0 & 0 & 0\end{array}\right]$ (for steps, see rref calculator).
The rank of a matrix is the number of nonzero rows in the reduced matrix, so the rank is $2$.
The rank of the matrix equals $2$A.