SymbolicIdentityArray [{n1,n2,…}]
represents an n1×n2×…×n1×n2×… array with elements ai1,i2,…,j1,j2,… equal to 1 if all ikjk, and 0 otherwise.
SymbolicIdentityArray
SymbolicIdentityArray [{n1,n2,…}]
represents an n1×n2×…×n1×n2×… array with elements ai1,i2,…,j1,j2,… equal to 1 if all ikjk, and 0 otherwise.
Details
- Valid dimension specifications ni in SymbolicIdentityArray [{n1,n2,…}] are positive integers. It is also possible to work with symbolic dimension specifications.
- SymbolicIdentityArray may be produced by differentiation involving ArraySymbol objects.
- For an array a=SymbolicIdentityArray[{n1,n2,…}] with positive integer dimension specifications ni, Normal [a] converts a to an explicit array. SparseArray [a] converts a to a SparseArray .
Examples
open all close allBasic Examples (2)
The derivative of a symbolic array variable with respect to itself is a SymbolicIdentityArray :
Create a SymbolicIdentityArray with explicit numeric dimensions:
Convert a to an explicit array:
Convert a to a SparseArray :
Scope (2)
Arithmetic operations:
Array operations:
Properties & Relations (5)
SymbolicIdentityArray gives a symbolic representation of the array:
Use Normal to convert a to an explicit array:
IdentityMatrix [n] gives an explicit version of SymbolicIdentityArray [{n}]:
SymbolicIdentityArray is a special case of SymbolicDeltaProductArray :
The derivative of a symbolic array variable with respect to itself is a SymbolicIdentityArray :
SymbolicIdentityArray objects are identity elements for ArrayDot :
Related Guides
History
Text
Wolfram Research (2024), SymbolicIdentityArray, Wolfram Language function, https://reference.wolfram.com/language/ref/SymbolicIdentityArray.html.
CMS
Wolfram Language. 2024. "SymbolicIdentityArray." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SymbolicIdentityArray.html.
APA
Wolfram Language. (2024). SymbolicIdentityArray. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SymbolicIdentityArray.html
BibTeX
@misc{reference.wolfram_2025_symbolicidentityarray, author="Wolfram Research", title="{SymbolicIdentityArray}", year="2024", howpublished="\url{https://reference.wolfram.com/language/ref/SymbolicIdentityArray.html}", note=[Accessed: 17-November-2025]}
BibLaTeX
@online{reference.wolfram_2025_symbolicidentityarray, organization={Wolfram Research}, title={SymbolicIdentityArray}, year={2024}, url={https://reference.wolfram.com/language/ref/SymbolicIdentityArray.html}, note=[Accessed: 17-November-2025]}