Verify the &-ô identity: Ejkɛipq = djpôkq – djqðkp. Then use this identity to show that (a) EilmƐjlm = 2 Öij, (b) ƐjjkƐjjk = 6

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Verify the ɛ- identity: ɛjkɛipq = ÕjpÔkq – djqðkp. Then use this identity to show that
(a) ɛilmƐjlm = 2 dij,
(b) EijkƐijk
6.
[Hint: Do not work out all 34=81 possibilities; just check for a few values of i, j, k, p, q.]
Transcribed Image Text:Verify the ɛ- identity: ɛjkɛipq = ÕjpÔkq – djqðkp. Then use this identity to show that (a) ɛilmƐjlm = 2 dij, (b) EijkƐijk 6. [Hint: Do not work out all 34=81 possibilities; just check for a few values of i, j, k, p, q.]
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