AE 321 Homework 1 Due in class on September 6, 2006 1. How many terms (and why) are represented by: AijBij,klCij,jiDijkApqBqr2. How many equations (and why) are represented by: AijBjkCkl=DilAij,j=0Aijk,l+Bij,kl=Cijkl3. Write out the following using standard (longhand) notation AijBjk=CikAi=Bi,kCk4. Show that: 3ijijδ δ=ijjkikδ δδ=5. Given the identity, εijkεpqr=detδipδiqδirδjpδjq
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