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MatrixRank

MatrixRank[m]
gives the rank of the matrix m.

MORE INFORMATION

MatrixRank works on both numerical and symbolic matrices.

The rank of a matrix is the number of linearly independent rows or columns.

MatrixRank[m, Modulus->n] finds the rank for integer matrices modulo n.

MatrixRank[m, ZeroTest->test] evaluates test[m[[i, j]]] to determine whether matrix elements are zero. The default setting is ZeroTest->Automatic.

MatrixRank[m, Tolerance->t] gives the minimum rank with each element in a numerical matrix assumed to be correct only to within tolerance t.

MatrixRank works with sparse arrays.

Basic Examples (1)

Find the number of linearly independent rows:

Applications (2)

Properties & Relations (4)

Possible Issues (1)

NullSpace Det Eigensystem RowReduce SingularValueList Inverse

Solving Linear Systems

Implementation notes: Numerical and Related Functions

Implementation notes: Algebra and Calculus

Linear Systems

Matrices and Linear Algebra

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