Lab 5 - ECOR 2606 Lab#5 Part 1 Analysis of an engineering...

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.