Legacy Documentation

12.3 Rank of Matrix

Determining the rank of matrix.

For inexact numerical matrices m, Rank counts the nonzero singular values, as obtained through the built-in function SingularValues. For exact and symbolic matrices, the difference between the number of columns of m and the length of the null space, as obtained through NullSpace, is used to determine the rank. Correspondingly, Rank accepts the options pertinent to SingularValues or NullSpace and passes them along to these functions.