MAE 107 – Computational Methods
Summer Session II 2009
Homework # 1
due on Wednesday, August 12 in class
4 problems – 20 points
Guidelines
: Please turn in a neat homework that gives all the formulae that you have used and all the
necessary information for the grader to understand your solution. Also, if the problem requires you to
write a MATLAB code, please turn in, along with the written explanation of your solution, (i) a copy
of the code you used, carefully documented with comments and using proper indentation, and (ii) the
requested ouputs and graphs.
Problem 1 – 4 points
1. Compute manually the eigenvalues of the matrix
A
=
0

1

1

2
1

2
1

1
2
. (Remember that
λ
is an
eigenvalue of
A
if

A

λ
I

= 0 with
I
the identity matrix – Hint: one of the eigenvalue is equal to
1). For each of the eigenvalues compute an associated eigenvector.
2. In MATLAB, write a short script file that defines the matrix
A
as a 3
×
3 array and computes the
eigenvalues and eigenvectors of
A
using the
eig
function of MATLAB. Compare with your response
to the previous question (remember that if
x
is an eigenvector, then
α
x
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.
 Summer '08
 Rottman
 Eigenvalue, eigenvector and eigenspace

Click to edit the document details