AE 321
Homework 1
Due in class on September 6, 2006
1. How many terms (and why) are represented by:
A
ij
B
ij
,
kl
C
ij
,
ji
D
ijk
A
pq
B
qr
2. How many equations
(and why) are represented by:
A
ij
B
jk
C
kl
=
D
il
A
ij
,
j
=
0
A
ijk
,
l
+
B
ij
,
kl
=
C
ijkl
3. Write out the following using standard (longhand) notation
A
ij
B
jk
=
C
ik
A
i
=
B
i
,
k
C
k
4. Show that:
3
ij
ij
δ δ
=
ij
jk
ik
δ δ
δ
=
5. Given the identity,
ε
ijk
ε
pqr
=
det
δ
ip
δ
iq
δ
ir
δ
jp
δ
jq
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '07
 waller
 Trigraph, Aij Bjk, indicial notation, ijk ε ijk, Dijk Apq Bqr

Click to edit the document details