Definition:Column Rank

Definition

Let $\mathbf A$ be a matrix.

The column rank of $\mathbf A$ is the dimension of the column space of $\mathbf A$.

Also see

• Definition:Row Rank
• Definition:Rank of Matrix

• Column Rank of Matrix is Row Rank of Transpose

• Results about column rank can be found here.

Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): column rank