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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.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Find the number of linearly independent rows:
In[1]:=
Out[1]=
Scope
(5)
Options
(2)
Applications
(2)
Properties & Relations
(4)
Possible Issues
(1)
SEE ALSO
NullSpace
Det
Eigensystem
RowReduce
SingularValueList
Inverse
TUTORIALS
Solving Linear Systems
RELATED LINKS
Implementation notes: Numerical and Related Functions
Implementation notes: Algebra and Calculus
MORE ABOUT
Linear Systems
Matrices and Linear Algebra
New in 5 | Last modified in 6
© 2008 Wolfram Research, Inc.
EXAMPLES
Basic Examples 
Scope 