University of Ottawa
MAT 1332B Midterm Exam
March 31, 2008. Duration: 80 minutes. Instructor: Frithjof Lutscher
Family Name:
First Name:
Do
not
write you student ID number on this front page. Please write your student ID
number in the space provided on the second page.
Take your time to read the entire paper before you begin to write, and read each question
carefully. Remember that certain questions are worth more points than others. Make a note
of the questions that you feel confident you can do, and then do those first: you do not
have
to proceed through the paper in the order given.
•
You have 80 minutes to complete this exam.
•
This is a closed book exam, and no notes of any kind are allowed. The use of cell phones,
pagers or any text storage or communication device
is not permitted.
•
Only the Faculty approved TI30 calculator is allowed.
•
The correct answer requires justification written legibly and logically: you must convince
me that you know why your solution is correct. Answer these questions in the space
provided. Use the backs of pages if necessary.
•
Where it is possible to check your work, do so.
•
Good Luck!
1
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Student number:
, Total marks:
out of 35
Problem
1
2
3
4
5
Marks
Question 1.
Consider the following matrix:
A
=
⎡
⎣
4
0
0
0
1
1
0
3
−
1
⎤
⎦
.
1. (2 point) Calculate the determinant and explain why the matrix is invertible.
(One
short sentence is enough.)
2. (4 points) Find
A

1
.
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 Spring '09
 ARIANEMASUDA
 Linear Algebra, Matrices, student ID number, Jacobian matrix and determinant

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