EGME 438
Homework # 3
1) Determine the value of so that the matrix becomes non-invertible (the inverse of the
matrix would not exist):
cos
sin
sin
1
cos
cos
0
sin
0
0
4
Find as a general term.
2) Find the inverse of the given matrix using Gauss-Jor
EGME 438
HW-2
1- Consider the mass-spring system shown below:
If the left figure shows the spring by itself, and the right figure shows the mass attached to the
spring, hence causing elongation, find the natural frequency of the system in
= 0.1 eter and
EC.H~
lf33
H'vJ t
tl
l- hn J
(
d+ 2 ?'- -
ior:
'i.
~ ~d+ ~d -:_ X t d
sofvftor1
2.
~ ~ = :x: -+ <\ -+ ;l(J - a')(-')_d
I
7(
d "' \:X-t~ J - a~')( -t-()
'
+d " U. ~
7( t
'2.
1
'2.
2.
a.SSW>U
solt4-,o Y\
-=->
I
I
I
1
~ .,_ u. or ~ -= u - I
2.
I
-.:>u-'
2
-=