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BUILT-IN MATHEMATICA SYMBOL
Vectors and Matrices
Constructing Matrices
Tutorials »
|
DiagonalMatrix
KroneckerDelta
UnitVector
Table
See Also »
|
Constructing Matrices
Geometric Transforms
Linear and Nonlinear Filters
Matrices and Linear Algebra
Structure Matrices & Convolution Kernels
Summary of New Features in 7.0
New in 7.0: Lists and Matrices
More About »
IdentityMatrix
IdentityMatrix
[
n
]
gives the
n
n
identity matrix.
MORE INFORMATION
IdentityMatrix
gives the
m
n
identity matrix.
IdentityMatrix
by default creates a matrix containing exact integers.
The option
WorkingPrecision
can be used to specify the precision of matrix elements.
IdentityMatrix
[
n
,
SparseArray
]
gives the identity matrix as a
SparseArray
object.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Construct a 3×3 identity matrix:
Construct a 3×3 identity matrix:
In[1]:=
Out[1]//MatrixForm=
Scope
(1)
Construct a 3×4 identity matrix:
Options
(1)
Create a machine-precision identity matrix:
Properties & Relations
(3)
Use
DiagonalMatrix
for general diagonal matrices:
The
KroneckerProduct
of a matrix with the identity matrix is a block diagonal matrix:
The
WorkingPrecision
option is equivalent to creating the matrix, then applying
N
:
Possible Issues
(1)
IdentityMatrix
gives a matrix with dense storage.
SparseArray
is more compact:
The
SparseArray
representation uses a fraction of the memory:
For matrix and arithmetic operations they are effectively equal:
SEE ALSO
DiagonalMatrix
KroneckerDelta
UnitVector
Table
TUTORIALS
Vectors and Matrices
Constructing Matrices
MORE ABOUT
Constructing Matrices
Geometric Transforms
Linear and Nonlinear Filters
Matrices and Linear Algebra
Structure Matrices & Convolution Kernels
Summary of New Features in 7.0
New in 7.0: Lists and Matrices
New in 1 | Last modified in 7