This preview shows page 1. Sign up to view the full content.
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
δδ
=
ij
jk
ik
δ
=
5. Given the identity,
ε
ijk
pqr
=
det
ip
iq
ir
jp
jq
jr
kp
kq
kr
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 01/18/2010 for the course AE 321 taught by Professor Waller during the Fall '07 term at University of Illinois at Urbana–Champaign.
 Fall '07
 waller

Click to edit the document details