MATH 1550 Study Guide - Final Guide: Marginal Revenue
York University
Faculty of Science and Engineering
Math 1550 A
Final Examination
NAME (print):
(Family) (Given)
SIGNATURE:
STUDENT NUMBER:
Instructions:
1. Time allowed: 180 minutes.
2. NO CALCULATORS OR OTHER AIDS
PERMITTED
3. Show your work. Your work must justify any
answers you give. Use page backs for any scrap
work.
4. Use pen to fill in cover. If you use pencil for
your solutions, you may not submit your paper
for regrading.
5. There are 11 questions on 13 pages. Page 8 is
blank.
Question Points Marks
1 5
2 8
3 6
4 8
5 12
6 12
7 10
8 12
9 17
10 5
11 5
Total 100
MATH 1550 A Final Examination
Page 1
April 17, 2012
1. (5 points) Find all solutions to the system
x−y+ 5z=−2
2x+y+ 4z= 2
2x+ 4y−2z= 8 .
MATH 1550 A Final Examination
Page 2
April 17, 2012
2. (8 points) Let
A=
1 0 −1
1 2 0
−1 3 2
.
(a) Find A−1.