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Identity
Get the d-dimensional identity hypermatrix
Contributed by:
Riccardo Gatti
ResourceFunction["IdentityHypermatrix"][n,d] gives the identity hypermatrix n×…×n=nd. |
Details
A d-dimensional n×…×n=nd cubical hypermatrix H is defined as 
where 
is the generalization of KroneckerDelta such that δi1… in=1 if and only if all the subscript values are 1, and 0 otherwise.
where is the generalization of KroneckerDelta such that δi1… in=1 if and only if all the subscript values are 1, and 0 otherwise.Examples
Basic Examples (1)
Compute the identity matrix for n=2 and d=4 in matrix form:
| In[1]:= | ![ResourceFunction["IdentityHypermatrix"][2, 4] // MatrixForm](https://www.wolframcloud.com/obj/resourcesystem/images/fbc/fbc90b01-0363-49eb-b4f0-b951a331459d/784114228a1c52c9.png){kind=small} |
| Out[1]= |  |
Scope (1)
Compute the identity matrix for n=3 and d=3:
| In[2]:= | ![ResourceFunction["IdentityHypermatrix"][3, 3]](https://www.wolframcloud.com/obj/resourcesystem/images/fbc/fbc90b01-0363-49eb-b4f0-b951a331459d/2fd05fc143e90960.png){kind=small} |
| Out[2]= |  |
Publisher
Related Links
- https://mathworld.wolfram.com/Hyperdeterminant.html
- https://www.stat.uchicago.edu/~lekheng/work/hla.pdf
Version History
- 1.0.0 – 21 November 2022
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This work is licensed under a Creative Commons Attribution 4.0 International License