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Theory Manual Version 3.6
 Subsection A.1.6: Product of Two Tensors Up Section A.1: Second-Order Tensors Subsection A.1.8: Transpose of a Tensor 

A.1.7 Identity Tensor and Tensor Inverse

The identity tensor, denoted by , is defined by for any vector . The Cartesian components o f in are given by
or Given , if exists such that , we call the inverse of , and . The inverse exists as long as . Also note that and . Also note that
 Subsection A.1.6: Product of Two Tensors Up Section A.1: Second-Order Tensors Subsection A.1.8: Transpose of a Tensor