Find the rank of a matrix by reducing it to row-echelon form and counting pivot rows.
Last updated: June 2026 | By Patchworkr Team
The rank of a matrix is the number of linearly independent rows or columns. It is a key measure of how much information the matrix contains.
For [[1, 2, 3], [2, 4, 6], [1, 1, 1]], the rank is 2.
What does full rank mean?
A matrix is full rank when its rank equals the smaller of its row count and column count.
Can rank be zero?
Yes. The zero matrix has rank 0.
Can I enter decimals?
Yes. Any finite real matrix entries are accepted.
What if a cell is blank?
Blank cells are rejected instead of being silently converted to zero.
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