Lin Alg & Matrices
Final Examination
Spring 1996
Your Name:
For purpose of anonymous grading, please do
not
write your name on the subsequent pages.
This examination consists of 5 questions, each question counting for the given number of
points, adding to a total of 24 points. Please write your answers in the spaces indicated, or
below the questions (using the back of the sheets if necessary). You are allowed to consult
two
8
.
5
0
×
11
0
sheets with notes, but
not
your book or your class notes. If you get stuck on
a problem, it may be advisable to go to another problem and come back to that one later.
You will have
2 hours
to do this test.
Good luck!
Problem 1
2
3
4
5
Total
1
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Problem 1
(7 points): Please answer the following questions and
justify your answers
briefly.
(a, 2pts) Consider the following 2 problems: A. Given a basis for a subspace of
R
n
find a basis for
its orthogonal complement. B. Given a matrix and one of its eigenvalues, find a basis for
the corresponding eigenspace. Both problems can be reduced to the problem of finding
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 STAFF
 Linear Algebra, 2 hours, 1pts, 2pts, 1pt, 2pt

Click to edit the document details