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Showing content from http://reference.wolfram.com/language/ref/SymbolicIdentityArray.html below:

Represent an Identity Array—Wolfram Documentation

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BUILT-IN SYMBOL

SymbolicIdentityArray[{n₁,n₂,…}]

represents an n₁×n₂×…×n₁×n₂×… array with elements a_{i₁,i₂,…,j₁,j₂,…} equal to 1 if all i_kj_k, and 0 otherwise.

Details

Valid dimension specifications n_i 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 n_i, Normal[a] converts a to an explicit array. SparseArray[a] converts a to a SparseArray.

Examplesopen allclose all Scope (2)

Arithmetic operations:

Array operations:

Properties & Relations (5) Wolfram Research (2024), SymbolicIdentityArray, Wolfram Language function, https://reference.wolfram.com/language/ref/SymbolicIdentityArray.html. 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.htmlBibTeX @misc{reference.wolfram_2025_symbolicidentityarray, author="Wolfram Research", title="{SymbolicIdentityArray}", year="2024", howpublished="\url{https://reference.wolfram.com/language/ref/SymbolicIdentityArray.html}", note=[Accessed: 12-July-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: 12-July-2025 ]}

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