This preview shows pages 1–6. Sign up to view the full content.
Four men are wearing either a white hat or a black hat (2 of each).
Each man can only look forward such that they can not see the
color of the hat they are wearing nor the color hat(s) of anyone
behind them.
Three men are aligned on one side of a brick wall.
The fourth man is on the other side of the wall.
If a man knows what color hat he is wearing he needs to call it out.
Which man should call out the color of his hat?
1
2
3
4
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document a
a
b
P
P
R
2
R
1
H
1


=





0
0
0
0
0
0
0
0
1
0
0
0
)
sin(
0
0
0
0
0
0
0
0
1
)
cos(
0
0
0
0
0
0
0
0
0
0
)
sin(
)
sin(
0
0
0
0
0
0
1
0
)
cos(
)
cos(
0
1
0
0
0
0
0
)
sin(
)
sin(
0
0
0
0
0
0
0
0
)
cos(
)
cos(
0
1
0
0
0
0
0
0
0
0
)
sin(
0
0
)
sin(
0
0
0
0
0
0
)
cos(
1
0
)
cos(
0
1
0
0
0
0
0
0
0
)
sin(
0
0
1
0
0
0
0
0
1
)
cos(
2
1
1
25
24
45
35
34
15
13
P
P
R
R
H
T
T
T
T
T
T
T
θ
Solving for Truss Forces is a problem in
Linear Algebra
and Matrix Math)
An Introduction to Matrix Algebra
Part 1
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document Matrix
•
A matrix is an array of numbers
•
Each element of the matrix is identified by a row
and column position.
44
43
32
41
34
33
32
31
24
23
22
21
14
13
12
11
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
Row
Column
A 4x4 Matrix
Examples of Matrices
5
.
6
3
.
5
1
.
1
A 3x1 Matrix
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 11/02/2009 for the course PCE EAS 102 taught by Professor Coffin during the Spring '09 term at Miami University.
 Spring '09
 Coffin

Click to edit the document details