Kronecker Delta - Properties

Properties

The following equations are satisfied:

\begin{align} \sum_{j} \delta_{ij} a_j &= a_i,\\ \sum_{i} a_i\delta_{ij} &= a_j,\\ \sum_{k} \delta_{ik}\delta_{kj} &= \delta_{ij}. \end{align}

Therefore, δij can be considered as an identity matrix.

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