ECOR 2606 - Lab #5
Part 1:
Analysis of an engineering problem has produced the following equations:
17
3
5
2
2
6
5
52
5
14
2
c
b
a
c
b
a
c
b
a
What are
a
,
b
, and
c
? Obtain the solution twice, once using the inverse of
A
and once using left
division.
Place all of the necessary steps in a script file called part1.m.
Part II:
T
1
T
2
T
3
T
4
T
BOTTOM
T
RIGHT
T
TOP
T
LEFT
The diagram above illustrates temperatures at points on a flat plate. Along the top edge of the
plate
the temperature is
T
TOP
, along the bottom edge the temperature is
T
BOTTOM
, and along the
left and right edges the temperatures are
T
LEFT
and
T
RIGHT
.
The temperature
at each of the
interior points is equal to the average of the temperatures at the four surrounding points. Thus,
for example,
T
1
is the average of
T
TOP
,
T
LEFT
,
T
2
, an
T
3
.
Derive a series of equations for
T
1
,
T
2
,
T
3
, and
T
4
. Treat the temperatures along the edges of the
plate (i.e.
T
TOP
and so on ) as constant.
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- Winter '09
- Computer file
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