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## Homework Statement

using Einstein notation, show the following identities are true

(A · B) : C = A^T · C : B = C · B^T : A

## Homework Equations

## The Attempt at a Solution

(A · B) : C=(A_{ij} · B_{jk} ) : C

= D_{ik} C_{ik}

= C_{ik} D_{ik}

= C_{ik} (A_{ij} · B_{jk} )

That's as far as I can get. No clue as what to do next, any pointers would be

greatly appreciated :)