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Theory Manual Version 3.6
 Subsection A.1.5: Trace of a Second-Order Tensor Up Section A.1: Second-Order Tensors Subsection A.1.7: Identity Tensor and Tensor Inverse 

A.1.6 Product of Two Tensors

The products of two tensors and are denoted by and and defined respectively by and Clearly, and are tensors as well. Their components in are given by In matrix form, . Similarly,
In general, , however , i.e., the tensor product is associative but not commutative.
 Subsection A.1.5: Trace of a Second-Order Tensor Up Section A.1: Second-Order Tensors Subsection A.1.7: Identity Tensor and Tensor Inverse