Let A, B be second rank tensors (a) Show that A B is also a second rank tensor (b) Show that A B is a fourth rank tensor (c) Show that the contraction of A B on its first and fourth slots is a second rank tensor (d) Write the following quantities in slot naming index notation the tensor A B, and the simultaneous contraction of this tensor on its first and fourth slots and on its second and third slots

Question: Let A, B be second-rank tensors. (a) Show that A + B is also a second-rank tensor. (b) Show that A B is a

Let A, B be second-rank tensors.

(a) Show that A + B is also a second-rank tensor.

(b) Show that A ⊗ B is a fourth-rank tensor.

(d) Write the following quantities in slot-naming index notation: the tensor A ⊗ B, and the simultaneous contraction of this tensor on its first and fourth slots and on its second and third slots.

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